Chacal literally translates to "jackal". In Mexican slang, however, it's used to describe a "player", a dominant man, or an expert in their field, often with a street-smart and assertive connotation.
In the song, the singer declares, "Llegó el chacal de chacales" (The jackal of jackals has arrived). He's not talking about an animal; he's crowning himself the ultimate master of the game. It's a powerful slang term that perfectly captures the confident persona he portrays in the song.
Fuerza Regida's "CHAKA" is a song about living a life of luxury and pleasure, where money buys you everything you want. The singer presents himself as a powerful figure, a "chacal de chacales" [jackal of jackals], who has worked hard to earn his lifestyle. He's got a "Mente de Bill Gates" [Bill Gates mind], a Rolex, and moves around in a jet. He lives a double life, comparing himself to Bruce Wayne by day and Batman by night, suggesting a respectable public image and a more mysterious, perhaps dangerous, side after dark. He's very clear that you shouldn't ask where the money comes from: "No preguntes de dónde la feria" [Don't ask where the cash is from].
This wealth allows him to pursue the best women, who he calls the "Champion League, pero de princesas" [the Champion League, but of princesses]. He's talking to one specific woman who he thinks might be special, even though he admits, "yo nunca he sido de una" [I've never been a one-woman man]. He describes her as a slim girl who does Pilates and is both curvy and extravagant. The whole song is a direct and confident boast about his power, his money, and his ability to attract beautiful women, all set to a beat that makes you want to dance, but "con clase" [with class], of course.