Yes, you can use Sunday Guitar patches in Logic! MainStage and Logic share the same plug-ins and instruments.
You'll want to save each midi channel strip into the Channel Strip Settings folder. Then, you'll want to save each audio channel strip inside the "track" folder within Channel Strip Settings> Track. Then inside Logic, if you go to "User Channel Strip Settings>Track" you will see those channel strips that were exported out of MainStage.
You can also save a Sunday Guitar patch to Audio Music Apps > Patches > Instrument and then you can pull it up under "User Patches" inside Logic. However, if you save everything together as a patch it will not sound identical to the sound of the patch inside MainStage- to get that you will need to save all the channel strips separately.