Could low transmission fluid cause the Service/wrench light to come on?

Hello,

When any given fluid is low, if there is a level sensor you will get a low fluid level warning.

If the transmission fluid is low, the first step would be to add fluid to the correct level. You also want to make sure there is no leak.

The service light comes on as a reminder for oil change.
This light should be reset after the oil change has been completed.

https://www.2carpros.com/articles/how-to-change-engine-oil-and-filter

There is a reset button in the fuse box located under the hood. Hold down the reset button for 5 seconds to reset the service indicator.

I have attached a diagram for your reference.

Please let me know if you have any questions.
Thank you.