Yes, but take into account that the softcap is 19 cps, hardcap is 60 cps*.

If you go higher than that, the game will not register those extra clicks. However, if you go over these limits, you'll get kicked out and the game will give you a message about clicking inhumanly fast. After that, you will have to refresh the game.

*Note: The limit for clicks per second used to be 25, but was reduced for rebalancing.