yǒu de xuéshēng hěn hàixiū, bú tài xǐhuan zài jùhuì shàng gēn biéren liáotiān.

Yes. 有的学生 means some students.

In this pattern, 有的 + noun means some / some of the ...:

• 有的学生 = some students
• 有的人 = some people
• 有的地方 = some places

This 的 is not showing possession. It is part of the fixed pattern 有的.

A close alternative is 有些学生. Both can mean some students, but 有的学生 often feels a little more like some among a group, especially when contrasting with others:

• 有的学生很害羞，有的学生很外向。 = Some students are shy, and some students are outgoing.

Not always. In Chinese, when an adjective is used as the predicate, it often needs a degree word before it, and 很 is the most common one.

So:

• 他害羞 can sound contrastive or marked in some contexts.
• 他很害羞 is the natural neutral way to say He is shy.

So here 很害羞 can mean:

• quite shy
• shy
• sometimes very shy, depending on context and emphasis

In many beginner sentences, 很 + adjective is best understood as a normal grammatical pattern, not always a strong very.

不太喜欢 is softer than 不喜欢.

• 不喜欢 = do not like
• 不太喜欢 = do not like very much / are not very fond of

So:

• 不喜欢在聚会上跟别人聊天 sounds more direct: they do not like it.
• 不太喜欢在聚会上跟别人聊天 sounds a bit milder and more natural in many situations.

English often does the same thing:

• I don’t like it vs.
• I’m not that into it

Because of tone sandhi.

不 is normally fourth tone: bù.
But when 不 comes before another fourth-tone syllable, it changes to second tone: bú.

Here:

• 太 is fourth tone: tài
• so 不太 is pronounced bú tài

More examples:

• 不是 → bú shì
• 不对 → bú duì
• 不要 → bú yào

在聚会上 means at a party / at gatherings.

The basic structure is:

• 在 + place/event + 上

Here 上 does not mean physically on top of something. With meetings, classes, events, and similar contexts, 上 often means in the setting of / during / at.

Examples:

• 在课上 = in class
• 在会议上 = at the meeting
• 在晚会上 = at the evening party
• 在聚会上 = at the gathering/party

You may also hear 在聚会里, but 在聚会上 is very natural for events.

Chinese usually puts time and place information before the main action.

So the sentence structure is:

• 有的学生 = topic/subject
• 很害羞 = description
• 不太喜欢 = do not really like
• 在聚会上 = at parties / at gatherings
• 跟别人聊天 = chat with other people

A rough word order pattern is:

Subject + manner/description + verb + place + action detail

In English, we might say:

• don’t like chatting with other people at parties

In Chinese, it is very natural to put the location before the action phrase:

• 不太喜欢在聚会上跟别人聊天

跟别人聊天 means to chat with other people.

Here:

• 跟 = with
• 别人 = other people / other persons
• 聊天 = chat

So:

• 跟别人聊天 = chat with others

跟 is commonly used to mark the person you do something with:

• 跟朋友吃饭 = eat with friends
• 跟老师说话 = speak with the teacher
• 跟别人聊天 = chat with other people

You could also use 和 here:

• 和别人聊天

Both are natural.

别人 means other people or other persons.

In this sentence, it means people other than oneself or one’s own close group:

• 跟别人聊天 = chat with other people

其他人 also means other people, but it is a little more literal and sometimes more neutral or formal:

• 别人 = others / other people
• 其他人 = other people / the rest of the people

In everyday speech, 别人 is extremely common.

Examples:

• 不要麻烦别人。 = Don’t trouble other people.
• 他很少跟别人说话。 = He rarely talks to other people.

Yes, but there are small differences.

• 有的学生 = some students
• 有些学生 = some students
• 一些学生 = some students / a number of students

For this sentence, 有的学生 and 有些学生 are the most natural.

Differences:

• 有的学生 often suggests some among a larger group, and it works especially well when there may be contrast.
• 有些学生 is also very common and often feels slightly more general.
• 一些学生 can work, but it can sound a bit more like a certain number of students than some students as a type.

So all of these are possible:

• 有的学生很害羞。
• 有些学生很害羞。
• 一些学生很害羞。

But the original 有的学生 is very natural.

聊天 is a verb meaning to chat.

It usually does not take a direct object the way some English verbs do. Instead, Chinese often adds the person you are chatting with using 跟 or 和:

• 跟别人聊天 = chat with other people
• 和朋友聊天 = chat with friends

You can also specify the topic with 聊:

• 聊电影 = talk about movies
• 聊工作 = talk about work

So there is a useful difference:

• 聊天 = to chat
• 聊 + topic = talk about a topic

Yes, that is a good natural translation.

A few close English versions are:

• Some students are shy and don’t really like chatting with other people at parties.
• Some students are quite shy and aren’t very fond of talking with others at gatherings.
• Some students are shy and don’t like socializing much at parties.

The main nuance to keep is:

• 不太喜欢 = don’t really like / aren’t very fond of rather than a very strong hate or never like

Usually it sounds like a general statement about some students in a group or in general.

有的学生 often means:

• among students, some are like this

So it can be understood as:

• Some students are shy and don’t really like chatting with others at parties.

If you wanted to make it more clearly about a specific known group, context would usually show that. On its own, the sentence is naturally read as a general observation.