Probably not because most solar generators are not smart enough and they just assume a certain capable source (e.g., 120 volts @ 15 amps) unless it has a programmable inverter, where you can tell it not to draw more than 350 watts. PS. it appears that the output of your little gas generator is not even a standard unit because it is rated for 700 watts or 5.8 amps (700 watts / 120 volts).