Is it okay if I record my voice and put it in my question, then ask people to correct my speaking and accent?
However, if you happen to have unresolved questions about specific words or phrases, I suppose you could come back with a similar request. That seems just reasonable to me, personally.
This reminds me of asking someone to proofread a document, which is off topic as per the FAQ. So I'd say that this should be off topic as well.
I think that such questions are too localized. What is the benefit for future readers that find those questions?
The other issue I can find with that kind of questions is that Stack Exchange sites don't allow to attach files to questions, if they are not images. What would happen if the voice recording is hosted in a site that would have any problem, and lose the file you stored there? Future readers would find a question they are not able to understand. Questions that are asked should not be just helpful for who asked them, but also for future readers; if a question is only helpful for who asked it, then it is too localized.
How do you decide which word to pronounce when you record your voice? If you record your voice when you say a simple word (e.g. for, example, why), who is a native English speaker may not find anything wrong with your pronunciation. How useful will the question be if the answer is "You pronounce it correctly"?