I don't, I think, but I'm not against anyone who does you guys are genuinely such cool people, and I wish only the best for you!
Now for more context on the "I think", I am fictionkin (Spiritual/Past life), I identify as multiple fictional characters and find myself shipping my kintype(s) with characters I love because said kintype and character were a thing in my canon/past life (As an example, say I kin character A, and in my past life as character A I liked character B romantically, so in my current life I like character B and ship character A with character B, if that makes sense from a non fictionkin perspective)
I don't know/think the above counts as selfshipping which is why I said "I don't, I think" but maybe I'm wrong I don't know much about the other sides of the fictionkin community
Edit: I just remembered I have a mutual who is a yume and fictionkin and ships his kintype with his yume but I'm still not sure about myself