Yes, people do build anything with Lisp, that is why there are at least two commercial Common Lisp systems around, LispWorks and Allegro Common Lisp.

Google Flights is an acquisition of a company using Lisp, ITA Software, they even have a Lisp guide.

https://google.github.io/styleguide/lispguide.xml

In Portugal, Siscog used to be a Lisp shop, no idea nowadays.

Then you have the Clojure based companies, where Datomic and Nubank are two well known ones, even if not a proper Lisp, still belongs to the same linage.