No.
What you can do is to make a series of moves to get your pieces into that position. It might be appropriate to make this a Takeback game (which will be unrated) - as it will be easier to adjust the starting position.
It's number #35 on Erik's Wishlist#4 - Allow for creating your own starting position for games
As you're no doubt aware, we are currently limited to a few thousand 'classical' starting positions, each the result of playing a documented opening, ranging
from A00: Amar gambit
to E99: King's Indian Defense: Orthodox Variation, Classical System Traditional Line
Can I challenge someone to a game where I choose the starting position?