Can a stuck caliper pin cause brake squeal?

The squeaking is coming from the worn brakes so to answer the question, it can cause the brakes to wear which will start to cause the noise. Here is a guide that will help with replacing the pads and lubricating the pins as well:

https://www.2carpros.com/articles/how-to-replace-front-brake-pads-and-rotors-fwd

Here is a video of a similar vehicle that will help as well:

https://www.youtube.com/watch?v=9S0im10Z2T0

Below you will find the detail from the manual on how to replace the pads and lubricate the pins as well to make sure they are moving.

Please let us know if you have questions. Thanks