I'm sure it is possible. My parents have things like antique clocks and cameras individually insured on their policy.

The first thing to do is take photos of the collection, and find a guidebook which you can get an idea of what the value is. Make notes of it and send it to your insurer and see what they have to say.

I have had comic books stolen off me, and the insurance company, after taking out the premium, were happy to pay me for it without photos or documentation.