Can I Mobilize Steam on a Jump drive?

So, I'm 16 and love to game. My parents are getting divorced so every other weekend I go to my dad s place. My mom doesn't care what I download on her computer; but that computer is a price of junk that can't even play Oblivion or Minecraft; plus its slow. My dad s computer; however, is super fast and is, for the most part, a great gaming computer. He doesn't want Steam on his computer because it takes up too much space. For Christmas, I got a 16 GB jump drive and I had no idea what to use it for. But now I wonder if there's a way to transfer Steam s files onto the jump drive and use it on the go. Does anyone know if this is possible? And if so can you give me instructions?