Perhaps this is possible, as suggested on the developer support site:
Thanks to the alpha and beta testing features, the Google Play Developer Console allows you to simultaneously test two different versions of the application in addition to your production version. Here's how:
Select an APK for your alpha test or beta test. Select a user group for each test. Publish your APK with alpha or beta testing. Ask your testers. Alpha or beta applications will only appear on Google Play for testers who do not select other users. Production APK is not required to publish an alpha or beta application. It may take up to 24 hours after publication to activate the test link.
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