Probably not.

Most carousels these days are javascript-driven. Therefore the source code for those products exists on the page (and is therefore easily viewed by Google et al). The javascript moves items around the *screen* but it does not modify the *source.* And it's the source code that matters most to search engines.

The exception to my answer above is AJAX. If any products are being dynamically loaded to a page via an AJAX call, then they would hidden from search engines. Google's John Mueller confirmed about a year ago that, despite all their progress with javascript and AJAX, Google still struggles with some Ajax-driven websites — http://searchengineland.com/can-now-trust-google-crawl-ajax-sites-235267

So, as with so many answers in SEO: *it depends.*

If you have any specific examples, I'd be happy to take a look! Feel free to message me here on Clarity.