If they started offering help it would undermine the BoE's strategy and likely open up a can of worms. I say this as someone having bought a property in 2021 and remortgaging this year.
The BoE have one lever they can pull and it's labelled "interest rates go up".
Edit: tbh, I'm more concerned with the housing market crashing due to the high interest rates making ownership at the current prices unaffordable. I suspect when we remortgage again we'll be paying the same amount of interest or higher due to being moved an LTV banding, which will be depressing.