Can I include split ergativity in my language if I don't have verb aspect/mood or noun classes?

I would really like to include some degree of ergativity in my conlang, however, every IRL language I've researched that includes split ergativity splits it along the lines of animacy/inanimacy or verb tense/mood/aspect. Aside from verb tense, none of these are features I plan on having in my conlang, so I'm wondering, should I add one of them if I want to include split ergativity? Is it possible to split it along the lines of verb tense alone? Have you heard of real-world languages splitting ergativity in other ways? How does ergativity work in your conlang?