Cover letter?

Hello everyone!

Elementary PE teacher here trying to transition out of education because I just can't take the treatment from admin anymore, not even having a gym in certain schools (like the one I'm currently teaching at), being treated as "less than" home room teachers because I "only play" and my subject is "unimportant", the list goes on.

I've been applying to different jobs without any luck so far and I was wondering; do you guys explain why you're looking in a different field? Do you write a cover letter? I don't want them thinking I accidentally apply or something haha

Thank you for your tips and advice :)