These days, most of the Service Design programs I've heard of are at the Master level. Nevertheless, you can still find a few bachelor programs around the world. Here are a few:
Bachelor programs with a focus on Service Design
B.F.A. in service design at the (SCAD) Savannah College of Art and Design in the U.S.
BA (Hons) in Service Design at the London College of Communication in the United Kingdom
Bachelor in Hospitality Management and Service Design at the LAUREA University in Finland
Bachelor degree at the Masaryk University focused on Service Design (Google translate version here) that is fully remote.
Studies that include Service Design at the Bachelor level
HES SO Valais: Bachelor of Science HES-SO (BSc) in Tourism of the HES-SO Wallis, in Switzerland