No, they are making rapid progress on ETH2. The beacon chain is the root chain for the other 63 shards that will be launched. That is the chain that is currently running in parallel with the ETH1 chain.

See Vitalik's blog on rollups: https://vitalik.ca/general/2021/01/05/rollup.html

The official estimate[0] is 2022. Given the general track record of their development pace, I'd be surprised if it goes fully live before 2023.

[0]: https://ethereum.org/en/eth2/

It says shard chains ship in 2021. They are saying the ETH1 chain will be migrated to proof of stake in 2022.