Yes, but like business casual? I don't know how to decribe it.
I never saw sneakers.
I saw jeans occasionally but think it is a big mistake honestly.
I wore slacks that were less formal than pants that went with my suit, and a more flowy casual button up shirt. Or I wore a camisole (no cleavage, some girls don't have to try hard to hide it but I do) with a matching sweater.
Most dudes wore non-jean like slacks, kakhis, or else very nice dark jeans, not faded, not too skinny, too loose, no bejeweled or embroidered butt non-sense, a button up shirt less formal than the one for interview day (also you do NOT want to risk food getting on it) that didnt need tucking, maybe a sweater vest, a nice sweater, or polo shirt. Skip the tie for sure.
As far as more casual sweater, polo, with dark jeans, vs slacks and casual button up, I would let the spirit of the program or region dictate. Like, at Mayo where everyone wears a suit on rounds, or Boston, a more conservative city in general, especially what you see average golk wearing, a more formal dinner casual outfit, at New Mexico, a way more laid back place, polo and khakis fine.
You can also go by restaurant they're taking you to. Upscale steakhouse vs low end bar with buffalo wings?
I lived on the road for a while, so I had a grey suit (back up suit that provided slacks for dinner before), main suit which was black, main button up for under suit, more casual button up for dinners but could be back up for suit, sweater/cami set & nice jeans for dinner if more casual, and also to have general clothes if I was was weekending it in the city. If I ever start my blog I will go into more details for packing strategies.
Hope this makes it more clear.