No. Here's how it works. Your object starts with two forces, fg, force of gravity, and fn the normal force. The force of gravity has a downward acceleration of 9.8 m/s2, which we'll call negative because we defined the y-axis to be positive pointing upwards, while the normal force starts with an upward acceleration of 9.8 This is why you don't move, because the net force Fnet = fn + fg which means:
ma = mg + m(-g) = 0 implies a=0
So if you accelerate upwards with a magnitude of 1 m/s2, the normal force increases so the acceleration of that force is g+1. This means
Fnet = fn + fg gives us
ma = m(g+1) + m(-g) = m(g+1-g) = m
So a=1 m/22, as expected.
I think you should talk to your physics teacher about this, because you seem to a bit confused as to what net force is