It absolutely could. There could be different options to manage symptoms depending on if they occur at onset, at peak, during withdrawal, or after withdrawal.
But as for answering your question: no, I have far less cravings on meds than off. I have slightly more cravings at night when the meds have worn off, but still almost none unless I'm off the meds for like a week or more.
I have more snacking cravings on meds though. Once I specified it to be late afternoons/evenings, I figured out was because I don't eat enough during the day on meds, then I could manage that symptom by solving the issue.