You have a keep-out area marked maybe that prevents dropping vias?
No, you cannot ignore row B since the plug can go in two ways – you have to do some routes to parallel some pins, and it’s pretty awful with an smt jack.
If you don’t need fast speeds, and don’t need this board smt-assembled, might I recommend the thru-hole usb-2.0-speed usb-c jack from cui: UJ20-C-H-G-SMT-TR
Vias are built-in
This particular receptacle you chose is very difficult to route - there are many other options with better routability. The one you chose is designed for HDI boards where you have much smaller vias, and can place those vias inside pads. Pretty much any other USB-C receptacle is better for routing.