Can Zac deal damage based on his health?

I'm talking about dealing 2% of his max health in damage on his Q and E and dealing 1% of his health on his W for bonus damage.

So, Zac having 1000 health = dealing +20 magic damage on his Q and E and only +10 more damage on his W.

And by late game, if he has 5000 health he can deal +100 more damage on his Q and E and +50 more magic damage on his W.