Yes.
If you save the profile from the first document (eaDocX | File | Save document profile) then load it into the second (eaDocX | File |Load Profile). Then, the formatting for all elements will move form one to the other, including Conditional Formatting rules.
This is a good way to make two documents look the same.
Alternative is to just save document 1 as document 2 (i.e. adocument copy) and the document 2 will start out with exactly the same Profile as doc1. This is how I usually do it.