Can a mix ruin speakers?

Stick with me here, I am relatively new to all of this, so forgive me. I do have an interesting conundrum.

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I've been mixing some rehearsal audio for my band to try and learn some basic mixing. Nothing serious.

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Now, on every device I listen to, the mix on it sounds pretty good. The ultimate test (my shitty car stereo), however, is insanely distorted, crackling. When I listen to professional stuff, it's fine.

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Although the pro stuff sounds better, now I am starting to notice the distortion and crackling on some of it since I played my mix.

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I dont know if I just never noticed it before, or if my mix actually hurt my speakers somehow. Just curious if this is even possible or if there's something fundamental im missing here.

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Just for clarity. Ive got a pretty old vehicle with no aux for the stereo. So im using one of those Bluetooth to radio converter things. Im almost positive thats a factor