There is not a way to export and import versions between enterprise geodatabases.
Asrujit SenGupta is correct by saying this is the same question he referenced.
I see he has listed a way to export the data from a specific version and it looks like that would work.
However, that would just be exporting the data from a version and you wouldn't exactly be able to import as a version into another enterprise geodatabase.
The data could be appended in some sort of fashion though.