If the hub is not self-powered then no, it won't work.
Some basics on USB. USB operates at 5 Volts, 500 milliAmps.
As this drive is wanting two usb ports, enabling it to draw 1 amp of current to operate normally, and you are running it from one USB port, you are giving the entire hub 500mA of current to work with, and the drive wants 1A (1000mA).
If you bought a powered USB hub it should work.