Half the reason we currently drive to do all our shopping is the epic anti-disability barrier over the canal at Middleknowe (more of a chicane-o-plex).
It is possible to avoid with an extensive bit of pavement cycling to join the canal further east, then doubling back. However, by that point it's certainly easier just to jump in the motor.
(The other reason is Donkey Lane. I have ridden it with the trailer but it's not good for the condition of your groceries).