No, because then individuals have no incentive to take appropriate care of themselves, knowing society is obliged to fix any errors they make or any acts of self-destruction they engage in.
The right to healthcare (or any product or service for that matter) is the right to the labour, creativity, and ambition of other people, and the reduction of an incentive for your own labours, creativities, or ambitions. It creates nothing but dependence and complacency in human beings, limiting and distorting them.