Shut off then check engine light turned on

That should be fine but what I would do first if possible is scan for codes. Knowing what codes are there will let us know what the possible issues are. This may not be a drained battery but some other issue so a jump start may not make a difference. However, adding that jump to it, is not going to hurt anything.

https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing

Here is a guide that will help with this if needed:

https://www.2carpros.com/articles/how-to-jump-start-car-battery-using-jumper-cables

Let us know what codes are there and we can go from there. Thanks