Is it possible to list unspent transactions...

You want to list unspent outputs, not "unspent transactions", for which you can use the appropriately named unspent_outputs.

...and use them to create a raw transaction?

You can use transfer to create a transaction using specific address indexes (e.g. the indexes that have the outputs you wish to spend), or sweep_single to create a tx using a specific output index and key image or sweep_all (specifying indexes to send).

If by "raw" you mean "do not immediately send", you can create a transaction using the monero-wallet-rpc versions of transfer, sweep_single or sweep_all, passing in the flag do_not_relay: true, which will return to you a transaction you can send later using submit_transfer.

If by "raw" you mean "unsigned", see this QA: How do I use cold transaction signing?

Is it possible to list unspent transactions...

You want to list unspent outputs, not "unspent transactions", for which you can use the appropriately named unspent_outputs command.

...and use them to create a raw transaction?

You can use transfer to create a transaction using specific address indexes (e.g. the indexes that have the outputs you wish to spend), or sweep_single to create a tx using a specific output index and key image or sweep_all (specifying indexes to send).

If by "raw" you mean "do not immediately send", you can create a transaction using the monero-wallet-rpc versions of transfer, sweep_single or sweep_all, passing in the flag do_not_relay: true, which will return to you a transaction you can send later using submit_transfer.

If by "raw" you mean "unsigned", see this QA: How do I use cold transaction signing?