GND arriving to the wrong pin of this chip on my PCB
Given you likely aren't running at high speed (100+MHz), a simple "bodge wire" to connect pins 4 and 10 would work reasonably well.
Just make sure that in your code you always leave pin 4 as an input (preferably with pull-up disabled to save power).

I wouldn't do this on a production board, but for a prototype it will be fine.

Regarding your last point, no, you can't just set the pin to be output low to make the connection, because all pins are high-z by default, so the chip likely won't turn on.