No, the man who owns the bot wont let that happen
But, anyone will be able to build a robot (unless they are bogged down with bullshit patents or something). You won't need the "man who own's the robots" robot, if you simply have your own robot too. Every local community, every individual, every farm, every school, every business, they could all have robots. The robots could help build more robots - you'd only need enough access to another man's robot, to build your own (plus a little raw material). There is no *natural* scarcity on robots. We could even open source the damn plans, like Arduino designs are.
I like the idea of a basic income (funded on the back of robot-based production), and I think it will become increasingly necessary in order to evolve toward our post-scarcity star-trek-like "utopia" peacefully.