Not if 'trans rights' means 'men who wish they were women / like to present themselves as if they were women should be able to force everyone to pretend they are women and allow them them to do what they like in women's health provision, women-only spaces and events, places where women are undressing, going to the loo etc. even if women object', no.
Or if 'trans rights' means 'removing the very words women use to describe themselves as women and mothers from official discourse, preventing healthcare providers, government departments, journalists and legislators from using those words properly to describe actual women and mothers', then no.
If 'trans rights' means 'men and women who wish they were the opposite sex and wish to present themselves as such, should be free to call themselves 'transwomen' or 'transmen' and not be abused or prevented from earning a living or accessing services for the mere fact that they do this, and where all provision for their status begins with the acknowledgement that they are not the sex they present as, but that where it is possible they would like to be referred to as the sex they prefer to present as and provided with trans spaces where possible', then yes. As long as it's acknowledged that people's options - in employment roles, spaces they can access etc. - may be limited in a number of ways because they present as the opposite sex.
The only solution to women's rights and civil rights in general being compatible with people presenting as the sex they are not is for them, for everyone, to acknowledge, as politely as you like, that that is what they are doing - presenting as the opposite sex.