Yes - very possible. The weight depends on the type of tube you choose.
For an entry level (commuter, training, etc) we normally use Columbus "Thron", which, for a frameset for yourself, would be around 1.9kg (including steel "Thron" fork).
Otherwise, for competition frames, going step by step up in low-weight, price and delicacy, we do Columbus "Zona" (1.7kg), "Life" (1.45kg) and "Spirit" (1.35kg) ...these weights are obviously indicative and include a Columbus "Thron" fork, but you can also opt for a carbon-fibre fork (Columbus Carve), in order to keep the weight down further.
Weights of the frames without fork:
• Zona: 1.4 kg
• Life: 1.2 kg
• Spirit: 1.0 kg
(the above weights are indicative for a 8-tubes frame, 54cm size, without lugs).
I attach a technical specifications PDF, with some info about the above Columbus Tubing.