Literally, no. Cassettes were still around, yes, but the next era of technology had already arrived. Earlier home computers used audio cassettes for data storage, but Amiga never did. It was part of the post-cassette technological wave. The hard drive inside that expansion is even the same mechanism and form-factor as spinning disks used today, and the SCSI command set is still used in SAS drives.

Posting it here makes sense from an aesthetic POV, since the case design fits reflects the cassette futurism look, before all computers turned black.