Yes, it is verb final. The word-for-word translation is: "You someone with talk why not do" It's tricky because usually for "talk to someone", you would essentially be saying "do talking with someone", so in a sense बात is the object, even though intuitively the object would be किसी/someone.
Also, in Hindi the question word often comes right before the verb, and so here it is kind of splitting up the complex verb phrase बात निहीं करते So there's a lot going on in the word order that is very different from English.
First thing is, it would have to be तुम्हारी बात.
For this sentence, something like तुम्हारी बात करना can be used to mean something like "talk about you", so किसी से तुम्हारी बात करना could mean something like "talk to someone about you." But the trouble is, since तुम is also the subject here, you can't have तुम तुम्हारी बात. This would be no good for similar reasons to the fact that in English, you can't say "you talk about you." To get that meaning you would need अपनी बात (the reflexive form, like "about yourself". (In both of those cases you'd probably be more likely to use तुम्हारे/अपने बारे में बात करना for "about you/about yourself")
But for the original sentence here, if you're not mentioning what's being talked about, you wouldn't want anything before बात. बात करना just means "talk"