Manager took me aside to take my vacation. I had no intentions of going on one until she informed me I have paid time off. A week after I book the time she tells me I actually don’t have any, wont get paid, and can just work “extra hours” to make up for it

I am at my wits end with this particular retail department store that treats their employees like dog shit. Manager is not even owning up to making a mistake. I wouldn’t be able to just up and not go to work for the 3 days I was supposed to be paid. Booked a hotel for the trip and everything. What the fuck. Can I file an HR claim? Do I have any actions I can take here? This individual fucked me over and refuses to take ownership