Does Check Engine light briefly come on at startup?

My check engine light has stayed lite for a few weeks.  I don’t drive very
often so I was procrastinating about taking it in for service.  The error code is
engine problem before 1000 RPM’s. Now the check engine light is not
lighting.  The weather has gotten warmer and now the check engine light is
not lighting.  I do not know if it is because it is not as cold outside or if it is
because the check engine light has burned out.  Several of the dash board
lights light briefly when I start the car.  Can you tell me if the check engine
light should light briefly when I start the car?