Yes, kind of. You run G28 and then G29 and then the bed leveling information is stored on your controller until you run G28 (home axes) again. G28 clears the levelling data.
Since it isn't very time consuming, I have my custom start gcode run the G28 and G29 to reset the leveling information before each print. I am sure this isn't absolutely necessary, but to me it is worth it to reset the home position and leveling data.