Two different planes, same alt, same speed, both turn, pulling 5gs - Do they have an identical turn radius?
Example: Spitfire and Fw-190
Boo
The academic answer is yes, as several people above explained. The practice says NO because it is very unlikely that they will maintain the same speed and G load.
Also even when they do, unless they fly on the circumference of the same imaginary circle, it will appear as if one is out turning the other. For example, a chase. Both planes start turning together, same speed, same G, but their imaginary circles are offset. The leading plane from his POV will get the impression that the chasing plane is initially "out turning" him for the first 90 degrees, then he will seem to be gaining angles back until he "out turned" the chasing plane and the roles are reversed. A real fight never develops in this way off course.