Although it isn't something that you would do deliberately (and certainly not repeatedly), the odd dry fire will not harm your springer. Jim Tyler's fine workings demonstrated the choking effect to air flow in the transfer port, so piston bounce will still have occurred. Second piston landing maybe a little harsher.

Don't worry, it'll be fine.

"Super-tuned" guns with monster springs and opened out transfer ports won't fare as well, mind!