Do consider that the transfer speed has a potential maximum of 60MB, You are likely to only get 35MB. Massive overkill.
Drive operating power = 1.78W
Some USB generate upto 2.5 W so theoretically possible. However Seagate suggest that MAX startup current is 1amp. So some USB sockets (maybe most still) only go upto 500ma.
Might work but don't bank on it. Wrong drive for external anyway.
There is a 100GB external version though.