Can you put that shrinkie plastic through a printer?

[SoupDragon]

Or will it snap get stuck and cause a horrible disaster requiring a new printer?

Is your printer a laser or ink jet? If it's a laser and involves heating, I would have thought that's a no-no. But I don't think I'd experiment on an ink-jet either. Can you contact the manufacturer?

Ink Jet. I think my concern is that it won't make it round the bend at the back of the printer