Sure, but that is a different discussion from the original topic of privacy
Yes. Monero will actually enable L2s with the FCMP upgrade coming out later this year. I'm sure there will be a Lightning-like L2 on Monero at some point, but unlike Bitcoin it isn't necessary to use for privacy. Monero also does away with the privacy issues of going back on/off chain.
Also, L2s don't necessarily mean Lightning either. Could potentially go down a different path and do some kind of ZK-rollup, CSV, etc.
https://github.com/monero-project/research-lab/issues/116