As long as the plane is still within the computer's ability to
compensate for, then yes. If too much of the airframe is lost or
the plane simply becomes too unaerodynamic... you gotta punch
out.
A F-117 lost it's tail once, but the pilot didn't even realize it
until the chase plane told him about it, his flight computer having
made up for the slack.
Though in pratice it is usually quite likely that to take damage
that removes so much of the aircraft, other critical systems might
be compromised as well and that might take out the flight computer,
in which case the aircraft is lost.
