No sorry, it’s not compatible. I looked into it in the past when someone asked once, but I couldn’t see much in the Polylang docs to guide plugin developers on how one would make a plugin compatible? Just a single paragraph on this page:
How to make translatable user defined strings in my plugin or theme ?
You have to register strings on the admin side with the function ‘pll_register_string’ and display them on frontend with ‘pll__’ or ‘pll_e’.
I’m afraid that’s not really enough information to go on, and I didn’t really have time to dig in just for (now) 2 people ever, who asked about Polylang. I love the idea of multilingual WordPress but I’m not sure how viable it is for a plugin like Polylang to expect plugin developers to work out how to interact with just this one particular plugin, without clear documentation, and without causing conflicts with other translation strings? All of that said… if you can point me in the right direction, I’m happy to take another look. Also, pull requests are welcome for this plugin so if you prefer you may like to take it up with Polylang themselves and invite them to submit a PR for Sticky Side Buttons to make it compatible?