He has a physical heart, but he does not possess a heart in the sense that you mean. Trump is a psychopath - defined below.
“A person who is superficially charming and well-spoken; demonstrates inflated self-esteem, arrogance, and a sense of superiority; is consistently deceitful and prone to pathological lying; is cunning and manipulative, maneuvering others for his or her own personal gain; has no remorse and feels no guilt; is callous, inconsiderate, and unconcerned by the pain and suffering of others; shows shallow affect [emotion], demonstrating a limited range and depth of emotional responses and feelings; exhibits minimal fear responses and a disinclination to change behavior in response to pain or negative social stimuli; and gets bored easily, needing constant stimulation.”
No.. he has no qualms about stabbing enemies, of which there are many, in the back, of bullying to get his own way, of ruining people... yes he cares about his kids,but that's probably more to do with duty and making sure you surround yourself with people you can control and trust than any feeling.
I think you should ask this question of all the small business owners who were either put out of business or severely hobbled when they found themselves caught in one of his various bankruptcy filings,
or his ex-wives,
or, simply check his twitter account to see how he responds to anyone that has criticized him.
Then again, how about all the people he has sued or who have sued him over the years. There are around 3500 lawsuits he has been involved in.