Sorry if I wasn't more clear. My question title should have been more specific. I meant to ask specifically what shines you could find by going through wormholes in Ultra Space, as opposed to which Pokemon were shiny-locked. I found a guide that you can access here on what shines can be encountered in Ultra Space. I also put the list of which shines you can get through Ultra Wormholes below. I hope this is useful to anyone with the same question.
You can encounter shiny Lotad, Skorupi, Snover, Hippopotas, Sigilyph, Ducklett, Audino, Dwebble, Stunfisk, Helioptile, Binacle, Yanma, Taillow, Buizel, Meditite, Spoink, Wooper, and Slugma by going through Ultra Wormholes.