Can I get private keys for my wallet via Social login?

So, If I use Biconomy SDK for social login, Biconomy will provide me with a wallet address (and as per the documentation, private keys are not stored), is it possible to somehow access the private keys for that wallet address?

Yes it’s possible to get the private key via web3Auth, we will be adding a new method called getPrivateKey in new version release via it can be exported.
Release Note - Release/1.0.0 by livingrockrises · Pull Request #95 · bcnmy/biconomy-client-sdk · GitHub