Even IF the jumper pack's inverter could handle the surge and start the compressor, which should be overwhelmingly obvious that it cannot, the internal battery could not power it for long, and that battery would then require rather intensive recharging efforts to return to fully charge and be able to do it again.
Which it Will not and Cannot, at least until physics no longer applies and magical marketing claims can accomplish world peace in addition to defying laws of thermodynamics.
The faith you have placed in this jumperpack product is highly misplaced.
The internal battery is Tiny, chinese AGM junk, and the inverter will also likely never meet its claimed ratings, even if the jumper packs alligator clamps are hooked to a larger battery being held at 14.2 volts by the alternator.
