They do, according to the studies I have read. And unlike a lot of studies, that default to male violence in straight cases of domestic violence, a lot of the lesbic cases seem to be tagged as mutual violence.

Don't know if it is bias on the measuring bodies, since a lot of people claim female on male violence is not a thing, and that the moment a man strikes a woman, no matter the circumstances, it is male on female. Including a case I witnessed, where a female family member attacked her boyfriend with a knife, he disarmed her and since he bruised her while doing so, he was removed from the house and lost custody of his own daughter.

https://pubmed.ncbi.nlm.nih.gov/10751048/

This study found no significant differences in victimization types between same-sex and opposite-sex intimate partner violence for females, and no differences in physical and sexual abuse for males. Small sample sizes might have affected these findings.