Can having your engine seize cause transmission problems too?

We bought a used car from a reputable Honda dealership and 10 months later we found out that they had actually purchased the car at auction a few months before we bought it and knew that the engine had seized previously and just kind of been patched. So then the engine completely goes out on us and needs to be replaced and now they're telling us after they replaced the engine and ran the car 100 miles they had to also replace the transmission completely. Is this normal? What other problems can we now expect? We kept up with every maintenance before the car broke. We are good car owners. It

– Can having your engine seize cause transmission problems too?