The calculated distance (air line) between Stoke-on-Trent and Canary Wharf is approximately 138 miles respectively 222 kilometers.
By car or train, the actual journey to Canary Wharf is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Canary Wharf has been calculated here.
Air line (approximately)
222 kilometers
120 nautical miles