Not currently, Tangled's data model is entirely built around Atproto, which at least at the moment assumes everything posted is public. There's work in progress at the moment to layer access controlled data on top of that which I think Tangled could use with time though.

we have already got a working demo of private repositories that works very similarly to atproto spaces alpha, but without requiring spaces to be stabilized, we will have something to show off in the next couple weeks :)