In theory yes, as anywhere animals meet. In practice the risk is small, because clinics have isolation and disinfection procedures.
How to reduce the risk even further for a puppy that hasn't finished its course:
- The first appointment of the day: that's when it's quietest.
- Not on the floor. Carry your puppy or let it sit on a blanket, and don't let it sniff shared bowls and toys.
- Special puppy appointments: ask your practice.
- After the visit go home, not to the dog park. Protection develops in 10–14 days.
- Wash your hands and shoes afterwards, especially if there are unvaccinated animals at home.
Important: the vaccine isn't contagious. Modern vaccines are safe for healthy dogs; mild tiredness is the immune system's reaction, not an infection. The biggest risk is contact with other dogs, not the visit itself.