Actually... with many brokerages, you can still obtain actual paper stock certificates -- it's just that the overhead and fees to do that make it highly unattractive.
Furthermore: It is possible to directly transfer stocks from one brokerage account (similar to a wallet) to another at a different brokerage without having to liquidate assets.
Furthermore: It is possible to directly transfer stocks from one brokerage account (similar to a wallet) to another at a different brokerage without having to liquidate assets.