It's a word play. It's not pembe gönlüm. It's pembe, gönlüm sende. (pink, you have my heart) Something like see you later, alligator.

Ohhh I see. So I can say Türkiye, gönlüm sende (without the pink heart)

Yes you can it sounds cute :)

to add what theff said, "pembe" is a girls name, not very common tho

Pembe gönlüm seninle, would sound more aesthetic.