It can however change with some aircraft designs so check the specs, the plans or the kit, but don't screw around with this because it will bite you. Even if you build everything correctly to spec., and the weight and balance are right on, some aircraft are unstable by the pure nature of the design. Many test pilots have died proving this fact in real aircraft. Some airfoils require lots of speed to create lift, so a very reliable well tuned powerful engine is necessary. Some planes become unstable at high speeds because of flutter or distortion of the structure or surfaces.
Some aircraft have a very sensitive balance point while others have a broad balance point.
In certain cases the plane may be very stable in a level, nose down or nose up attitude, but may be unstable in a banking attitude. The point is, check out the history of the real plane and take some hints from that. So be careful. I have saved the most important item to the last. Earlier I mentioned about building your plane strong but not too heavy.