Well, stop and ask yourself why it wouldn’t.

It’s you driving a vehicle, and getting into an accident.

Regardless of who’s insurance you’re in, it’s still you being in an accident.

So, once you’ve realized that, then you realize that your question is moot, as you already have the answer.

Any accident you have in any car, owned or not, increases your risk. Increased risk can lead to an increase in premiums at renewal time. If your risk goes high enough, insurance may take the option to not renew you at all.

Yes, it will as it goes on your driving record. When your insurance carrier runs your driving record for renewal purposes, it will raise your premium