You can mean what you want, but in this case you're using an important idiom from philosophy to mean something else. People will pick you up on it. Best to say "raises the question" if that's what you mean.
Oh, I do say "raises the question", because I'm aware of this debate and I want to head off language pedantry. That doesn't mean I don't disagree with said pedantry.
I've literally never seen a usage of "begs the question" that couldn't be immediately disambiguated by context.
