You can put it in the category of the impossible, and consider it a path of no return. If it's a bigger amount of money, and you can prove that BitGo is responsible for some security failure, then you could take some legal steps, and submit the action for damages.
This is stated in BitGo Terms :
BitGo controls only one of the three private keys for a Digital Asset wallet provided by the Service. You are solely responsible for maintaining the security of the other two private keys. If you appoint a third party to control one or more of your private key(s), whether or not such appointment is made through the Service (e.g., through a key recovery service), BitGo is not responsible for the actions or omissions of such third party. Control of these keys will allow such third party to transfer all of your Digital Assets from your wallets and you may never regain those Digital Assets.