Dear Ana @aheneah
Unfortunately the whole 'slide' has the 'click event' - To describe it like a 'Glass Window' over the carousel. anywhere you click will be on this window (triggering the slide).
With the Current Lay Theme options you cannot select/highlight the text - sorry about this and any inconvenience it may cause to your design.
It is likely possible with some further Coding/hacking - I wanted to give this a go for you as a solution:
https://stackoverflow.com/questions/53367064/how-to-enable-select-text-in-swiper-js
But it hasn't worked. I cannot go in further at the moment to get this to work sadly.
Once again sorry if cannot help further Ana - You may wish to seek the aid of a developer if you know someone who could lend a hand- - Or any others reading this Thread if that could Help Ana please :)
Have a lovely day Ana & best wishes
Sincerely
Richard