Canada

It absolutely is possible to achieve. It’s very simple (but politically difficult): we need to simplify the tax code.

The reason rich people pay less taxes is because of all the complicated deductions, exemptions, credits, and rebates. Low income people end up paying more (and getting it refunded) for very dumb reasons, such as seasonal jobs that don’t prorate the tax withholding (so eg they pay as if they earned that money for 12 months when they only worked for 3, causing them to pay taxes as if they earned 4x as much in a year) or simply being charged too much tax due to payroll mistakes.

There is also the issue of lower income people simply being unaware of deductions and tax credits they qualify for (and being more likely to not know about them). This can also be solved with tax code simplification: get rid of those credits and simply charge lower taxes at the lowest brackets (or even raise the minimum bracket higher so they don’t pay any tax at all).