How about if you plug the Electron into a different USB port?
Have you tried other USB cords?
The Battery charging LED flashes quickly when there is power applied but no battery present so that shows that the PMIC chip is working when you supply power.
The main Color LED should lite up when power is applied via USB unless it’s running code to do otherwise. You should be able to hold down the reset button to reset the Electron and see some LED light if it’s a new Electron.