I’m not aware of definitive evidence of Bradford ever being in York, but it does have a Pilgrim connection as a place of confinement for Separatists.

York Cathedral – architecturally stunning, but to Bradford’s eyes, a monument to unbiblical worship of a false church
The Merchant Adventurer’s Hall, a medieval guild hall which still stands
Clifford’s Tower, part of York Castle
A view along the York City Walls, which still encircle nearly the entire town