Should be. Check it's an DC adaptor and not AC and that you get the polarity right.
Make sure the router supply is DC, if that's what the radio needs.
Also check the polarity. If it is centre negative and you put a centre positive adaptor into it you could damage it.
Is there a symbol with a flat line and a dashed line above it on the power supply anywhere?
What does it say on the back actually, or post a photo
That outputs AC. If that's the plug you have and your radio needs a DC input, then that will probably fry it.
If you look closely where it says Output 12v ~ 1.5A, the little ~ symbol means AC, if it was DC it would be a line with three short dashes underneath it.