Both are tip positive so the polarity appears to be fine. The only problem I see now is that the device expects 6V but the power supply supplies only 4.5V.
Sometimes those power bricks are unregulated and may provide more than the rated voltage so you should check it with a multimeter just to see what it really is outputting.
In any event as others have correctly stated a low voltage condition would only cause the device to not function on that power supply but won't damage it. A high voltage might cause damage which is why I always double check non-stock power supplies before using them.
Go ahead and try it you might get lucky. If it doesn't work then a 6V @ 500ma or 1A wall wart power supply shouldn't be too expensive to buy if you need to.
Here's one with the correct polarity and rated voltage on Amazon for $6:
https://www.amazon.com/DIKOO-Adapte...470775972&sr=8-1&keywords=6v+1a+power+adapter