That's a definite no bueno

The description
"Power Supply DC 9 V Dry Batteries (R6/LR6 (AA) type) x 6, AC Adapter (BOSS PSA-Series: sold separately) "
says it can be powerede via batteries, so try that first.

If you can - find a local store that might sell Boss and see if they can let you try a different power adapter, or order one online. If still no dice - might be time to contact Boss customer support ... and most likely sell for parts.