Welcome to the Community,
If this is just about getting smaller files for the transport, you may consider to use a compression tool (e.g. 7zip) which has an option to split the archives.
I have tried that, however, the file is still too large. I'm looking to split it into much smaller files, which is why I've been attempting to split the .vmdk.
Which size do you need?
Btw, 7zip allows to specify a size in Bytes, so you shouldn't have any issues with too large files.