I must’ve missed where you mentioned disability so I can apologise for that, but otherwise yes, they can if they wish (provided not protected).
That’s where workplace adjustments are mandatory to support disability and those protected characteristics.
Workplace adjustments, ie in the office adjustments.
I’ve never seen a story where someone started an office job while able, and then become disabled and then their employer forced to allow them to work from home. There’s a multitude of options to consider before the wfh solution.
It’s one and the same from a protected characteristic viewpoint.
That’s not what I said and it’s not my direct experience.
But if you start a hybrid/office job and then say “I want to WFH full time because I’m a carer” you’re not going to be top of the keep list in many organisations.