Can a user have Write but not Read

I don't think you can do exactly what you want. They must have read permissions to see the file to be able to modify it.

You can create a folder, share it out & not give them permission to list anything in it, except give them Transverse Folder rights & both Attribute rights. Then they can access a subfolder in there - but only if they go directly to that folder. They won't be able to browse through Explorer in some ways.

Also, remember that Word & other applications create temp files within the directory. They have to be able to delete those automatically at the end of an edit session or you'll get a directory full of junk.

Without knowing exactly what you're trying to accomplish, it might be better to hide the directory, use a batch file or script to copy the file to their drive, let them edit it & then send it back. You could do that with a VBA macro. It isn't real security, but would work for most users, if you're just trying to keep them from seeing other, similar files & they're not likely to go digging for them.