No you need 0.84 Amps and this is rated at 0.8A. It is a bad idea to run a transistor at the rated current you normally run them at 80% of the maximum.
You then have to work out if the transistor can take the power dissipation, that is the saturation voltage times the current.
My data sheet for a 2N2222 is for a plastic case not a metal one, it has a collector maximum current rating of 600mA and a Vsat of 1.0V, so assuming that transistor has the same that gives a power dissipation of 0.84 watts. The data sheet for what you linked to has a maximum dissipation of 0.5 Watt.
So basically you need a more beefy transistor.
EDIT
The saturation voltage for that device is 2.0V at 500mA so you are dissipating 1.68 Watts