Nope.
The 120W motor will draw 0.5A at 240V (0.5 x 240 = 120) and twenty times that at 12V - so 10A.
This assumes 100% efficiency which you NEVER get so add 25% for leeway - call it 12.5A from the battery, minimum.
If your battery is rated at 65Ahr (typical small car battery) then, in theory...