With a propane generator the answer is .... I don't know.
Question: On your propane tank, IS there ONE HOSE that feeds both the "House" (Furnace, Water heater, Stove) and the Generator? IF so, then yes.
Or is there a 2nd hose/line for the Generator only \? If so, then you can provide external Propane to the house, but the generator can not use it.
NOTE: if you are unsure about hoses.. Try shut off valves. Same answer, If there is one, good, if there are two, NO.
Larger generators generally suck LIQUID propane.. The Extend-a-stay type devices work on GAS (Vapor) only.