Hey Sulla,
I have cut 3/8" with a band saw and had no problems.
What you may want to check is the teeth on the blade. My saw has a metal cutting blade so the teeth are small and close together.
If yours has wider, deeper teeth it may be for wood and could possibly cause the plastic to chip.
Don't know for sure so your best bet, as I am sure you are aware of, is try it with a piece of scrap first!
Best of luck, Petseal