Yes I have replaced a white elf LED that was not working on the 19LED board on my LOTR.
They are just standard LED components that you can buy at an electronics shop. I bought a pack of assorted ones and just soldered in a new white one. You may have trouble matching the exact colour. Check with a meter to see if you have any voltage across the LED on the circuit board when it is supposed to be lit. If you have voltage just replace the LED, if there is no voltage, reseat the board connector first, otherwise you probably have a fault on one of the chips on the board. If one LED is flickering, try reflowing the solder on the LED affected.