"May happen" is it correct? [closed]

If I happen to have what you're looking for...

is perfectly natural and implies there is a possibility that the speaker has the thing in question. It is certainly possible.

If I may happen to have what you're looking for...

sounds really weird but is technically correct, and implies the possibility that there is a possibility. Which is to say, it may be possible that the speaker has the thing. No idea when you would need this, however.

In conclusion, both are correct but I'm 99% sure you need to use the former (without may).

Hope this helps!