There's something called a key derivation function (KDF). It depends on which you use. Short answer : no, not the standard seed phrase. Longer answer, it can be done, but there's different ways of doing it.
Discussion
Good to know, thanks. That's why it's cool to generate them in Alby, all new Nostr users can have seed phrase for their Nostr keys. There's also a Liquid web wallet you can use with the extension https://blog.getalby.com/introducing-anser-a-web-wallet-for-liquid/
Excellent work. This opens a lot of doors. Ultimately all keys are the same, entropy is entropy. Devil is in the detail.
This was done by a contributor for a bounty! Still very much unexplored territory in terms of usage and ecosystem. You could also use those keys in Alby Hub and later we will add Nostr keys within the Hub itself, that opens lots of doors as you said
