Мы можем об этом поспорить?

Yes, Russian often drops subject pronouns when they are clear from the verb ending. So Можем об этом поспорить? is also possible.

Including мы does one of these things:

• makes the subject explicit: we
• adds a little emphasis
• can make the suggestion/challenge feel more direct

So both are natural, but мы можем... is a bit more explicit than just можем....

Можем is the 1st person plural form of мочь = to be able / can.

So:

• я могу = I can
• ты можешь = you can
• мы можем = we can

In this sentence, можем can mean either:

• can in the literal sense: Are we able to argue about this?
• or more naturally in context, shall we / want to / could we: Can we debate this?

Russian мочь is often broader than English can.

Because after о / об you need the prepositional case.

The pronoun это changes like this:

• nominative: это = this / it
• prepositional: этом = about this / in this / on this

So:

• о чём? = about what?
• об этом = about this

О это is ungrammatical, because это has not been put into the right case.

Russian uses об instead of о before some words beginning with certain vowel sounds, mainly for easier pronunciation.

So you get:

• о книге = about the book
• об этом = about this
• об истории = about history

Here, этом begins with a vowel sound, so об этом is the normal form.

Поспорить means to argue, dispute, debate, or have a disagreement.

It comes from спорить = to argue / dispute.

Depending on context, поспорить can sound like:

• a serious disagreement
• a debate
• a challenge
• even a slightly playful Want to argue about that?

So the exact English translation depends on tone. It is not always an angry argument.

This is an aspect question.

• спорить = imperfective
• поспорить = perfective

In this sentence, поспорить suggests having an argument/debate as a whole event. It often sounds like have a discussion/dispute about it, possibly for a limited time.

Compare:

• Мы можем об этом поспорить?
  = Can we argue/debate about this? / Can we have a dispute about this?

• Мы можем об этом спорить.
  = We can argue about this / We are able to keep arguing about this

The imperfective version can sound more ongoing or general. The perfective поспорить is very natural when talking about engaging in the act as one complete event.

Yes, often по- with a perfective verb can suggest doing something for a while or as a single bounded event.

So поспорить often feels like:

• argue a bit
• have a debate
• have a dispute

That does not always need to be translated literally as argue for a while, but that nuance is often there in the background.

Russian often forms yes/no questions just by intonation, not by changing word order.

So:

• Мы можем об этом поспорить. = We can argue about this.
• Мы можем об этом поспорить? = Can we argue about this?

In writing, the question mark shows it. In speech, the voice rises appropriately.

Russian can also use ли in more formal or literary styles, but in everyday speech simple intonation is very common.

Yes. Russian word order is flexible, and changing it can shift emphasis.

For example:

• Мы можем об этом поспорить? = neutral
• Об этом мы можем поспорить? = emphasis on about this
• Поспорить об этом мы можем? = emphasis on the possibility of arguing

The original order is natural and neutral.

Grammatically, этом comes from этот, which usually points to something relatively close, so about this is the most direct translation.

But in real English, depending on context, it may sound more natural as:

• about this
• about that
• on that point

For example, if both speakers are referring back to something already mentioned, English may prefer that, even though Russian uses этом.

It depends a lot on tone.

It can sound:

• neutral: Can we debate this?
• friendly/playful: Want to argue about that?
• challenging: We can argue about that, if you want
• confrontational, if said sharply

So the grammar itself is not rude, but поспорить can easily sound more confrontational than a softer verb like обсудить = to discuss.

For example:

• Мы можем это обсудить? = Can we discuss this?
• Мы можем об этом поспорить? = Can we argue/debate about this?

The second one is stronger.

The stress depends on what is important, but a neutral pronunciation would be roughly:

• Мы мОжем об Этом поспОрить?

If you want to emphasize different parts, the intonation changes:

• Мы можем об этом поспорить?
  = we can argue about this?
• Мы можем об этом поспорить?
  = argue about this?
• Мы можем об этом поспорить?
  = actually debate/argue about it?

Russian uses intonation very actively to shape nuance.

Yes. In real usage, English can, could, and shall we may all fit depending on context.

Мы можем об этом поспорить? can function as:

• asking permission
• suggesting an argument/debate
• proposing to challenge a point
• testing whether a topic is open for dispute

So possible English renderings include:

• Can we argue about this?
• Could we debate this?
• Shall we argue about that?
• Want to debate that?

The best choice depends on the situation and tone.