Yes He does! He does things which people expect the least. He throws a monkey-wrench in the best laid plans.
Pagans had sons of gods, just because they were born of a "virgin". He said, Okay, let me do that for real. I will send Jesus who will be borne by a real virgin.
Yeah. I'm sure I've said a few prayers that made Him laugh. Seriously, he had a whale swallow a prophet who was ignoring Him, and the prophet lived in the belly of a whale for three days floating in mush; I think that's a good sense of humor. Oh yeah, then the prophet was vomited out. To top it off, the prophet was mad because God didn't send the destruction on the city which He told the prophet to pronounce. Furthermore, as Jonah sat in his bitterness under a tree, God withered the leaves which gave him shade. Yep, God had to have gotten some chuckles from that one; I know I did....hearing the holy man say he was in the belly of hell.
Absolutely He has a sense of humor He's great. He didn't have a sense of humor when He was making you though. He made you just the way He wanted you. He made you beautiful. He made you after his own image. Of course you're beautiful