Is it possible to network into off cycle at a BB that doesn't have a program?

I had an amazing conversation with a senior MD at a BB. They said they would pull for my summer app, and that my resume was very good.

My question is, could it hurt to ask to see if they have off cycle as well? There's not off cycle program since this is New York, but if my college is online for another semester, I would really consider a gap if I could do OC.

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