If you have a battery isolator, then the answer is no, since that is what a battery isolator does. If you have a dual charging relay system, which usually only works when the alternator is charging, then the answer is no. Most systems are set up to not take power from the chassis battery to the house battery, so you can always start your rig.
Jim and Valerie, 2005 Winnie Adventurer 37B, 2014 Subaru Forester Toad, hitches, brakes, anti-sways, autopilot, gourmet food on a Social Security budget.
"Wave as you go by."