Despojar is a powerful verb that literally means 'to strip away' or 'to dispossess'. It’s a much more intense word than simply 'to forget'.
In this classic ballad, Luis Miguel sings "Ni un minuto me logro despojar de tus besos" (I can't manage to get rid of your kisses for even a minute). He uses this word to create a vivid image of struggling to free himself from her memory, as if her kisses are something physically attached to him that he cannot remove.
This song is a classic for a reason! It's a completely one-sided confession after what sounds like an incredible night. The singer, Luis Miguel, keeps repeating the phrase "No sé tú" (I don't know about you) because he has no idea if the other person feels the same way. He's just laying all his cards on the table. He admits, "yo no dejo de pensar" (I can't stop thinking) about their kisses, their hugs, and how much fun they had.
He's not subtle about what he wants, either. He says he'd love to repeat the "cansancio que me hiciste sentir" (the exhaustion you made me feel). His obsession is taking over his life. He thinks about this person everywhere, from his pillow to the streets, and it's even making him sick with insomnia. It all boils down to one simple, desperate feeling: "Me haces falta / Mucha falta" (I miss you / I miss you a lot).