Can you share Lucene Search collections across contexts

I see that the creation of a search collection is performed in a web context. Can you share the collections across 2 web contexts?

We are migrating a company to lucee that has the main website and the administrator website in two different web contexts. We want the admin site to do the indexing but have the Main web site read them.

Is it as simple of creating the same collection (mycollection) in the same path for both web contexts?