No, it's too slow. You need something much quicker than that. PoW probably isn't best suited.
Maybe something like swilrds hashgrid would work.
But the game does not have to wait for confirmations, it also does not have to send 10tx per second but only one per turn and in for example chess turn can take few seconds and finaly it does not have to be as secure as money transaction it just needs to be propagated among nodes mempool.
Turn based it might be suitable.
I'm considering full scale games tho, or at least slow moving ones, like RTS.