I wouldn't risk it... beyond the risk of viruses to you and your pet, which is very substantial, most rabbits don't love outings to stores. Given everything going on, I'd play it safe and leave bunny home. Since you are in the UK, you should be able to vaccinate your rabbit against RHDV2 also!
There is never a good reason to take bunnies out of their familiar environment (other than vet visits). They should have lots of room to exercise 24/7. They do not benefit from being walked or put in a stroller AT ALL. I despair when I see (mostly US) FB posts with bunnies in harnesses, etc. They are prey animals, they are not dogs or dolls.