Ursaluna-Bloodmoon is currently only in Scarlet and Violet and can thus only be transferred between it and Pokemon HOME. It may be traded to any player with a copy of Scarlet or Violet in Version 2.0.0 and above. Unfortunately, Ursaluna-Bloodmoon is currently shiny locked.
Ursaluna (Bulbapedia) Shiny Locked Pokemon (Serebii)
