No, Title IX forbids exclusions on the basis of sex
So how do you have separate men’s and women’s sports if exclusion on the basis of sex is forbidden?
Separate but equal.
Equal access does not necessarily mean equal access to particular sports. For instance, a school may field a football team comprised of males and not a football team comprised of women. However, the women are supposed to have access to a woman's sport on footing with football. Often, women's soccer is offered instead. Occasionally, a woman will try out for and win a place on a male football team, generally as a kicker. This is pretty rare.
Another example would be baseball, which in the US, is a man's sport. Women are offered softball as the equivalent.
The reality is that men's sports do get more funding, still get first/best shot at facilities, practice times, game times, transportation, etc. The excuse is that men's sports teams generate more income but I'd really love to see an actual accountant's analysis of that.
Title IX also ensures that no one is disallowed from participating in any program, including academic programs on the basis of sex. It used to be common that girls (K-12) were put into home economics classes and boys were put into shop classes. In my high school in the ancient days girls were not allowed to take drafting courses. Boys were not allowed to take home ec, although presumably, girls could become architects and everybody needs to eat, right? Now most classes are co-ed. I only wrote most because at the moment, I can't think of any male only or female only classes, except perhaps gym classes because of the limitations of the size of the locker rooms and showers.