Hello Breilly670
No.
Bags must not be loaded by others than railway employees. To ship luggage, you must officially register and drop it at the counter / railway travel center yourself showing a valid ticket booked for yourself.
The railway travel center in Zermatt will take care of your luggage until you arrive and pick it up.
It is prohibited to load & ship unaccompanied / unattended luggage on public transport vehicles.
See further information here:
https://www.sbb.ch/en/station-services/before-your-journey/luggage/luggage/door-to-door.html
Kind regards,
Roland