Is the rest of the DMM functions still working? Current? Ohms in particular? If so, it suggests the CPU is still working. The output of an ignition coil is in kV and likely tripped the input protection circuits, see green squre. Visually inspect them, if blown, you can bypass them and see if the meter starts up. MOV's fail open, but if they shorted you'd have to cut a lead to open them, and if the series PTC resistors opened you'd have to short across them. If the input protection failed to act quick enough the meter may still not act right, it could blow additional components, typically signal diodes or input transistors, e.g. green arrows. Visually inspect those, they are less easy to repair and if damaged, it could have also damaged the input to the main IC, so recovering your meter is less likely.