Ok, the slightly more technical answer is, no.
A car audio sub is designed to work in a different enviornment. Most home amps output DC current (upon the switch from the step down) of a voltage and impedence that differs from that of a car amp. While the specific output of a home amp greatly differs due to a wide variance is build quality, most car amplifiers run on +12-14.4volts/20-70amps@1-4ohm. While there are extreme examples that deviate from the aforementioned, this is most common.
Beyond that, Bitcore mentions the realistic likelyhood of harmful frequencies reaching the sub. Unless those subs are crossedover at a bare minimum of 200hz, you could dammage them from that as well.
Kicker recomends 5-15 hours of break in anyway. They are very rigid (as I am sure you noticed) and will improve with regards to performance as time goes on. I ran low frequency pink noise through mine for a day prior to installation as to speed up the break in period.
Yeah it'll work, but not a great idea. Ya got a nice pair of subs, just hang on until you can toss 'em in your ride.