If I have access to records, but no custody and a DVRO against me(kid incl.), can I get her pre-approved for school w/o custodial parent’s permission?

Non-violent DVRO in place against me which includes my child, no physical or legal custody to me—sole of both to the other parent, professionally supervised visitation. I live in a top school district and believe it might help sway the judge to grant me more time/custody/visitation with my daughter. We’re going back to court soon so I can ask for exactly that and I want to show the judge that that I am proactive, prepared, and take my daughter’s education and care very seriously. I also want to show him that being with me would be in her best interest due to the school district I live in (Malibu) compared to the one her mother lives in (Santa Paula). I do have access to records, School, daycare, so is getting her signed up or at least pre-approved for school allowed by me the non-custodial parent without the custodial parent’s permission? She’s at that age & mother is not going to sign her up this year at all. What’s my best course of action? Advice? Suggestions? Alternatives?