Technically, yes, SLS can send people around the Moon, but gotta remember that Starship is very much on the critical path to the actual goal of boots on the Moon.
So, 'currently' is doing a lot of heavy lifting there, not to mention in general the idea of SLS being ready to send people to the Moon now is a bit of a stretch too since Artemis II will be ready to launch in 2024 if we're lucky, which is also when (if we're lucky), Lunar Starship should be starting its testing.
