If it really is a power setting that would be a little unusual. In most cases, it will be a thermostat. Set on low it will heat for a while at the full 2400w and then cycle on and off as needed to maintain the correct cooking temperature. In that case the answer would be no.

If it truly is a power setting, then it may depend on whether the inverter is pure sine wave or modified sine wave. Some appliances will not work on modified sine wave.

If you have something to read amps you could plug it and try it. Normally the inverter will allow a short term overload and then trip. Of course your fuse or circuit breaker to the inverter may blow first.

Regardless, cooking with electric appliances uses a huge amount of battery power. If you are unsure, tell us what your battery type and capacity is, and how the system recharges.