The short answer is yes.
The cellpro 10SX is rated at 250 watts with a 12 volt input so you still could use two chargers if you wish. If you go with an inverter generator they start to get a bit heavy and bulky in the larger sizes. The 1000 watt size is a nice fit if it needs to be portable. I notice Costco has a Duracell 1000 watt inverter generator on sale for $200 and weighs 28 pounds which is much cheaper than the Honda. I don't know if it's any good but the Costco policy on returns always allows you to return it.

John