Yes. You can say:
Both are natural and both can mean go to the bicycle shop.
The difference is small:
In many everyday sentences with 行く, they are very close in meaning.
Because Japanese normally follows Subject–Object–Verb order, and the verb usually comes at the end of the sentence.
So instead of English:
Japanese is more like:
Even when the subject is omitted, the verb still usually stays at the end:
This verb-final pattern is one of the most important sentence patterns in Japanese.
It is simply omitted.
Japanese often leaves out information that is understood from context. So 自転車店に行く could mean:
The exact subject depends on the situation.
This is very normal in Japanese. If the speaker wants to make the subject clear, they can add it:
行く is the plain/dictionary form of the verb.
You will often see dictionary form:
The polite version is:
Both are correct. The difference is style:
So this sentence is not wrong; it is just using the plain style.
It can mean either, depending on context.
Japanese non-past verbs often cover both:
So 自転車店に行く could mean:
Japanese does not always separate present and future as clearly as English does. Context tells you which one is meant.
Yes, it is understandable and correct. But learners should know there are other natural ways to say it too, such as:
These can sound a bit more everyday and conversational.
Still, 自転車店 is a valid word and clearly means bicycle shop/store.
Normally, Japanese is written without spaces:
In learning materials, spaces are sometimes added to make the sentence easier to read and to show the parts clearly:
So the spaces are just a teaching aid, not standard Japanese writing.
Japanese does not have articles like a and the, so 自転車店に行く does not explicitly say which one.
Depending on context, it could mean:
English forces you to choose an article, but Japanese often leaves that information unstated unless it is important.
By itself, 自転車店に行く。 is a perfectly fine basic sentence. But in real conversation, you often hear a little more context, for example:
The short version is common in examples because it clearly shows the core grammar: destination + に + 行く.