No.
Everybody faces the same tax burden: Income Tax, VAT, NI, etc are not regionally defined within England. Some people have geographically enhanced property values and incomes, but that is the luck of the draw, and if as a consequence higher rate taxes or taxes of opportunity such as Inheritance Tax kick in, so be it.
How Government decides to spend it's tax revenues should be decided by greatest need. Ultimately all people should have the same chances in life - historically the North has lagged behind because the country is London focussed.