I don't have a vert, but if was me, I'd take it to a shop that does auto upholstery. It can probably be repaired..
From my experience, it cannot. I used to have an '06 convertible. My son put the top down while he had a hockey stick in the back seat ( I was driving him to one of his games). The top got caught on the stick and was binding. On the right "C" pillar was a cut where apparently the vinyl got pinched in the frame of the top as it was binding. Put a nice cut in it.
Several trim shops told me that there is too much tension on the material when the top is up and any repair wouldn't last.
Ended up filing an insurance claim and had the top replaced. It was a bit over $2K.