This will depends on what your local system is running, and how you can access the data on the remote system. If the data can be accessed on your local system via a Windows share (SMB), then you can just run a local version of mrview and load the data from that network drive.
If you’re on a Linux system and you can access the data via SSH, then you can use SSHFS with a command like this:
# create a folder locally that will be used as the mount point for your remote folder:
mkdir remote
# mount the remote folder and make it accessible locally (edit as appropriate):
sshfs user@server:. remote/
# you can now access the data as if they were local, e.g.:
mrview remote/data/image.mif
# if you need to un-mount the remote folder:
fusermount -u remote/
See e.g. this link for more details on SSHFS. You may need to install the sshfs package first – but that will depend on exactly what flavour of Linux you’re running.
You can use SSHFS on macOS too, but you’ll need to install a few packages first (no experience with that myself though).
If you can access the data via the Unix Network FileSystem (NFS), then you can already view the data anyway. Setting up NFS is a bit more fiddly and requires admin privileges, so unless that’s already set up for you, I recommend you don’t even try – use SSHFS instead.