No.
At the moment., but:
1 - As more renewables come on stream & the UK gets more connected with Europe, the electricity price will tend to fall.
2 - As people quit gas the standing charge will rise - it's already happening here in France where heat pumps are already much more common than the UK.
3 - The latest Climate Change Committee report calls for the removal of levies from electricity bills (and onto gas) to make electricity cheaper, which would accelerate item 2, if/when it happens.
Because:
1. Higher standing charges are on the way - see above.
2. The cost of upgrading the gas grid to take hydrogen will be huge. Pipe pressures will have to be increased to compensate for the difference in molecular weight, needing new pumps, and appliances and network equipment have to be upgraded to stop the smaller hydrogen molecules escaping.
Replacing methane with hydrogen is either wishful thinking by the gas & boiler industries or, being more cynical, a deliberate ploy by them to hamper Government decision-making, prolong the use of natural gas and delay electrification.