Yes. It is a general warning light that covers many engine management issues, including those related to emissions.
The engine management light should always illuminate before the car is started. Then if everything is working it will switch off.
Unscrupulous dealers/private sale will sometimes put tape over the light or remove bulb to mask problems. This happened to my neighbour, whose wife bought in haste a VW Polo with major timing chain issues. The car had been reset to hide the code and black tape over the light. The car ran ok with reasonable power, but when I heard it start (spanners in biscuit box) I said take it back. They are now in the middle of litigation having won small claims against dodgy dealer. Bailiffs go in next month.