Hi Hovertim,
It is possible to blow an ESC with a battery, but... it all depends on the load you put on the motor, battery is current source, ESC is current switch and motor is current "sink" in simple terms
You could also blow the battery if the motors load exceeds the C rating of the battery, A 2200 mAH battery with a conservative 15C rating can supply 33 amps
without being damaged,
you could also burn out the motor if you put too big a load on it.
Now that thats out of the way

These specifications match the motor ( they could be different , you will have to confirm)
RMP/V - 1450
Current - 5 - 9 A/12 A/60 seconds
Dimensions - 27.5x26 mm
Shaft Diameter - 3 mm
Weight - 36 g
Ni-MH - 6-8
Li-Poly - 2 - 3
Max. efficiency - 81%
No load - 0.6 A
Resistance - 140 mΩ
Recommended prop - 2 x LiPO 8x4.5, 3 x LiPO 7x4 - 8 NiMH 8.5"x5"
Recommended model weight 200 - 500g ( aircraft)
Its the motors load (prop) that causes current draw.
so the Battery will be fine as well as the ESC if you keep at or below the recommended prop for 3 cell (or 5-9 amps if your using a boat prop). A watt meter is an inexpensive and very worthwhile investment for testing set-ups. (especially for boat props where there is almost no manufacturer information)
Nick