Baby is having growth spurt. So I'm guessing growing pains? Point being he's screaming his head off…

Baby is having growth spurt. So I'm guessing growing pains? Point being he's screaming his head off and nothing's calming him down. Tried pacifier, feeding him, bouncing him , ... he only stops crying when I sit in the rocking chair. But I have to be up in 3 hours for a doctors appointment. He's been like this all week. Poor baby. Is it okay to let him cry it out if Im holding him? Cause at this point all I can do is hold him while we lay in bed and let him cry.. he won't stop. I feel terrible I can't comfort him