Q - Can you be multiple types of therians?
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A - The way this question is worded, it could mean two different things, so I will answer it both ways I could interpret the question. You may have meant to ask, "Can you be multiple theriosides (identify as more than one non-human species)?" The answer is yes. This is known as being a Polytherian.
This question could also refer to the levels of integration, being a standard Therian, Suntherian, Vacillant Therian, or Contherian. And then also being either Cladotherian, and/or Polytherian. The first four refer to levels of integration or the merging of the humanside and animal sides of oneself.
It's possible to be any one level of integration. Or maybe you could even be something in between, but generally people one of those that are closest to their experience And then you could be a Cladotherian (which is identifying not as a distinct species but the general family or genus in the scientific classification system). Then you could also still be a polytherian.