There are times when I was a JW that I imagined he did, but that was mainly due to the conditioning ("inculcation" - the theocratic term) that I experienced there.
We were taught that his care is evident for us in the creation around us, and the "perfect" planet earth which was supposedly created just for us.
That's not enough. If God is really there, He/She/It is like a parent who gives lots of money for a child to go have fun with, but is emotionally distant.