Some of it might be okay----is it all just out in the open or is any of it under anything or up against a wall?
This summer maybe you can go to a yard sale or the goodwill and pick up some old sheets that you could keep just for this purpose.

Mom has new annuals out and her and dad use disposable plastic cups to cover them with when they are small like they are.
Most of mine would probably be okay to tell you the truth, I just hate to take a chance on it when I just bought most of the plants I covered.