It really depends on the inverter. Some inverters are designed to be "stackable" and some can be "stacked" in several configurations depending on needs.
Some can be tied together to be in phase for more capacity on the 120VAC line. For example, if your loads were all 120V and they totalled 2000W, but your inverters were 1500W each, and "stackable" they can be connected together, run from the same battery bank and paralleled to produce 3000W of available power at 120VAC.
Some can be tied together out of phase, making it where you could have two 1500W inverters running from the same battery, but producing 220VAC (or two legs of 120, same as regular household AC).
The inverters used in these scenarios MUST be stackable, the same brand and preferrably with the same software version on them. They will connect to the battery, the load and also have a smaller "data" cable run between them to make the "stack" properly.
Long story short: Unless you but specific inverters for "stacking" it won't work.
Doug