Only if you're using an uncalibrated force scale (spring scale, stress-meter based scale). A balance-type scale, like a triple-beam, doctor's scale or analytical scale (as used in chem labs) will read correctly in any gravitational field, or constantly accelerating frame of reference, within limits of course. Hmmm, how do you measure mass in a zero-g environment?
By displacement, if you know the density.
By applying a known force and measuring accelleration.
SD
One way is to make the mass oscillate between springs. They did something like that to measure the mass of astronauts in space. Maybe in Skylab? More massive things have a longer time of vibration.