Can Sponge Cake Batter Sit?

I am making a cake this week for someone’s birthday. I have decided to make a three layer black forest cake. The batter is unique in that it does not contain any leveners. I have one MAYBE two cake pan rounds, and would like to avoid buying another at this time because I just bought some other utensils for this project. Will this work? If it would help I can rewhip the batter before each pour, but I don’t want to over-whip.

Any advice is appreciated!