Maybe. There has been no guidance by the FAA on what is considers "a manner acceptable to the Administrator" with respect to electronic record-keeping. There are good reasons why some people think it doesn't matter, but the more conservative approach in the absence of guidance is to keep all records in both paper an electronic format. Might be unnecessary but the extra minute or two needed to keep a second record seems a pretty small cost.

I've been running my paper and electronic logs in tandem for at least 12 years now (my first e-Log was in DOS before 1998) and keeping two sets has never been much of a bother.