There are a few layers to unpick here, and I suspect the question might be coming from a North American context — because in the UK we're working with 230V as our standard mains voltage, which changes the picture considerably.
Running a 120V generator into a typical inverter/charger (a Victron MultiPlus, for instance) simply won't work as intended. The unit expects 230V AC input. You'd likely trip protection circuits at best, cause damage at worst.
The "MPPT" part of the question also gives me pause. MPPT is a DC-side solar charge controller function — it's not something your AC generator feeds into directly. I think there may be some conflation of terms happening. The AC input on a combi unit like a MultiPlus is entirely separate from the MPPT solar input.
On my narrowboat I've gone through exactly this kind of planning exercise — working out how a backup generator integrates with the Victron ecosystem. The answer is always: match your generator's output voltage and frequency to what your inverter/charger actually accepts, then let the unit manage the charging logic itself.
If you're genuinely working with 120V equipment, you'd need a step-up transformer before the inverter input, or a charger specifically rated for 120V AC input.
What's the actual setup you're working with? Generator make and model would help clarify things enormously.