Emborrachar literally means "to get drunk". It's a common verb, but the way it's used in this song is purely poetic and very memorable.
Luck Ra sings, "Quiero emborrachar mi corazón" (I want to get my heart drunk). He's not talking about literally giving his heart alcohol; he's using this powerful metaphor to express his desire to be completely overwhelmed and intoxicated by the feeling of love. It's a creative way to describe wanting to fall deeply and completely for someone.
It's a super hot day, "Treinta grados / Me está derritiendo el sol" (Thirty degrees / The sun is melting me), and everyone is partying. But Luck Ra, an artist from Argentina, is over it. While his friends have started drinking, he declares, "Ya me cansé de la bebida / Hoy busco al amor de mi vida" (I'm tired of drinking / Today I'm looking for the love of my life). He admits that "La soltería es divertida / Pero yo ya me cansé" (Being single is fun / But I'm tired of it now). This song is a fun, direct announcement that he's ready for something real.
He's looking for a very specific kind of love: a summer romance that lasts. The chorus repeats that he's searching for a love that is "de verano, pero, duradero" (from the summer, but a lasting one). He's not thirsty for alcohol, but for "unos besitos al atardecer" (some little kisses at sunset). He even says he wants to "emborrachar mi corazón" (get my heart drunk). He's so serious about finding someone that he's putting out an open call, saying the door is open and he's listening to offers!