Rogar literally means "to beg" or "to plead". It's a powerful verb that implies a sense of desperation.
However, in this song, it's used in the common idiomatic phrase "No te hagas de rogar", which translates to "Don't play hard to get". The singer uses this line to playfully tell his love interest to stop being coy because he knows the feeling is mutual. It's a fantastic phrase to learn to make your Spanish sound more natural and fluent!
This song tells a classic story of a one-night stand, but with a twist. The singer starts off super confident, trying to convince someone they've just met to spend the night with them. They lay it on thick, saying things like, "Yo sé que apenas nos conocimos amor / Pero yo quiero estar esta noche contigo" (I know we just met, my love / But I want to be with you tonight). They even promise the other person will be obsessed after their night together: "después de esta noche / Vas a buscarme, te lo aseguro" (after tonight / You're going to look for me, I assure you).
Then, the song completely flips. The next morning, the singer's charm is gone. They pretend not to remember what happened, blaming it on alcohol: "Perdona no recuerdo lo que sucedió / Ese no fui yo el que anoche te enamoró" (Sorry, I don't remember what happened / That wasn't me who made you fall in love last night). The ending is brutally honest. The singer admits this is just who they are, telling the other person they don't commit to anyone. The final line, "¿Pa' qué miento?" (Why would I lie?), is a cold and direct end to the short-lived romance.