Most Helpful Guy
Technically, the answer is "yes and no".
A man's penis will typically achieve several orgasms, during the night. It's an automatic process that the body initiates, as a way of "exercising" the tissue. So, yes, because it happens every night.
However, what we refer to as "morning wood" is when a man wakes up while it's actually happening. This "pauses" the process, and he'll just stay hard, as if he was actually horny, until it goes back down. So "no" because it's only morning wood, if he wakes up during that particular cycle.
I hope that helps?