Impossible for Pakistan.
A massive earns around Rs1,000 a day or around Rs20,000 a month. That's just about enough to pay for food, electricty and gas.
If you work over-time, you can then buy clothes and afford to send children to schools. Therefore, cannoyt ask the poor populous to pay for anything extra.
The UK has been a very rich nation for a very long time. It had a globetrotting Empire when the NHS, large scale infrastructure and large scale industries were set up.
That has never been the case for Pakistan since inception and will not be for any forseable future. However, there is a small chance that after CPEC is completed in the 2030s, things may radically change for the better.
For now, someone needs to heavily tax all those mansions being built all over the country with remittances by expatriates which is contributing to horrendous inequality instead of opportunity in the country. This money can definitely help with providing some free health services.