Can I intentionally overfill my hydraulic brakes to adjust contact point?
No - that would lightly pressurise the system all the time.

From https://www.sram.com/avid/setup-guides/hydraulic-brake-setup  


  Note: The Contact-Point Adjustment DOES NOT move the pads.


Instead you want to try the reach adjust, and try tweaking the caliper mounting bolts so the caliper is aligned how you want it.