Can I put standard drop brakes on a MASI drop handlebar?
The handlebars on the Masi Uno look like track-style handlebars, which were designed for the aerodynamic needs of track racing (in a closed, running-track-like loop in a velodrome) over the practical needs of a road bike. The important thing to note is that track bikes usually don't have brakes (see this article for why, with a fun sneak peek of "It's the Olympics; if the riders wanted to slow down, they wouldn't be there."), and their handlebar design reflects that. As Rider_X said, you could certainly put them on, but they might be uncomfortable depending on the size of your hands. 

I would suggest adding interrupter levers for safety, and then potentially adding cross levers/mountain bike style levers on the very ends of the handlebars, where it's most flat. Here are some pictures illustrating the concept done on mustache handlebars:





If your goal was to be able to add brifters (integrated brake levers/shift levers), my suggested configuration might get awkward to use and you'd be better off just attaching them as you would on a road drop bar, and hope that the reach isn't too far. If you have large hands, this shouldn't be a problem.