Touch and goes with different flap settings, including flaps up, have been a normal part of my training, on solo and dual flights, daytime or at night. As for the question weather you can land a small aircraft with flaps up, of course you can, provided you have enough runway ahead of you.
In my flight school, however, students were encouraged to land with flaps full whenever possible. The reason for that was the learning effect. Flaps full landings are more difficult than flaps up landings, because the lower speed reduces aileron effectiveness.