DAC and Digital Input Sharing the Same Pin - Can DAC overpower a pullup?
As the DAC is internal, it will depend on the current drive capability of the device.

The simple answer is that the DAC output drive needs to be significantly greater than the pull-up current.

The worst case is when the DAC tries to drive to 0V, when the pull-up has 280uA of current; to overcome this to within 1%, the DAC would need to be able to drive 28mA when in this state.

Much depends on how much error you can tolerate.