Oh yes, it can cause food cravings. I had my IUI last Thursday and I'm on my 5th day of progesterone today. Day 2 I wanted to eat everything in sight. It's toned down a bit since then.
It's too early to get pregnancy symptoms, so this is definitely a side effect of the progesterone.
When we are pregnant our progesterone increases, and that is the major cause of pregnancy symptoms. So yes, I would imagine it can cause cravings. It made my breasts sore for sure as I used to start it during my 2WW.
alas, proegesterone can cause every known symptom of pregnancy...
good luck and baby dust!