No.

Typical gas / coal plants are ~40% efficient. That means that if you do natural gas -> electricity -> heat pump, you only have 40% of the energy available to you. Yes, Heat-pumps then multiply that 40% energy out into “energy movement” rather than heating, but its a huge efficiency break.

If you instead run a pipe from the central source of natural gas and then burn the natural gas inside of a home, you have something like 95% efficiency (5% lost in the chimney).

Its only in the most recent decades have heat pumps actually become more efficient than burning natural gas inside of homes, because you have to factor the inefficiency of the power plant in your conversion. So today we’re finally in a position where modern, advanced, efficient heat pumps are worthwhile. But go back just 20 years ago and the math still pointed towards burning fuel inside of our homes as the most efficient solution.