After a car repo if late fees storage fees and payments are updated can you get the car back even if it has gone to an auction house?

Up until the vehicle is resold at auction, it can be redeemed...in most cases. If the lender has determined the vehicle is a "direct drop," that is it is immediately taken to auction upon repossession, then redemption is going to be unlikely. If you have paid the outstanding fees, and at least have arrangements with the lender, demand the return of the unit. Do not stall, do not wait for them to move.