Could be, hook it up to a resistor and battery to test. I have some that change colour so they must have some sort of circuit inside, so there surely would be flashing LED's available.
Meta:
Is there a possibility that these LED's are designed to blink when put into HIGH (voltage)? As opposed to just staying on in the HIGH state?
If you are hooking up an external LED, it is possible they are designed to flash. (You wouldn't be the first one caught by this.) If you attach the LED to Pin 13, does the on-board LED and your external LED act the same way?
Also, make sure you are using a current limiting resistor...