Doubtful. The essence of humor is the unexpected... I don't think that God's imagination can be surprised.
Secondly, one seems to recall something in Ecclesiastes about laughter itself being "madness."
That said, I don't think it wise to conceive of God's character as being severe---as if, because He has "no sense of humor" as it were, then he must necessarily be "mean." But a forgiving God is a God of grave concern, knowing full well that forgiveness is necessary but far from warranted.
And again, we are to learn our theology from icons; we do not see icons of Christ laughing.
In terms of our theological outlook (which shapes our communion and prayer), and as part of a more general dialogue stemming from the topic, I think the Fathers tell us that it is of no use to romanticize our image of God. And by romanticize, I mean that habit of willfully projecting passions onto God which rightly belong to ourselves as features of frailty and sin. This is the reason why Italian and Frankish church art is not considered to be theologically correct--too romantic.
And you know, the final point, and I think the only point really is this: God is Holy.
In other words, What was the question?