It can be, but fascism is extremely malleable as a template and can absolutely not give a shit about abortion (or even actively encourage/enforce it like china during the one child policy) or any other specific individual freedom.
The ones it really cares about are the ones that allow you to dissent and work against the government, so speech and association.
Fascism is fundamentally authoritarian first; specific social and economic prescriptions are tuned as the party/dictator deem necessary.
That's how you can have red fascism like China and Stalinist Russia, and capitalist fascism like Pinochet's Chile.
The US is never going to properly address its issues until it properly identifies them.
What you're dealing with is not fascism imposed from the top down, it's puritanism endorsed at all strata of society by a significant amount of people who genuinely co-sign it, either because they don't understand the repercussions or because they genuinely don't care.
If you're incapable of understanding that people in those states genuinely support banning abortion, for example, and are not actually being oppressed by a minority of powerful people who are denying them their rights, but are instead actively signing away those rights for the minority who want to keep them, you're never going to be able to effectively change this state of affairs.