Dil hai ki manta nahin
is a phrase from a popular Hindi song and movie of the same name. Literally translated, it means "The heart doesn't listen" or "The heart refuses to obey."
Does it capture the idea in English that the heart has its own desires and emotions, often conflicting with logic or reason? To my knowledge, it suggests a sense of emotional turmoil or restlessness, where the heart is driven by its own impulses and refuses to conform to rational thought.