Short answer
Yes, it can be a problem. Soy sauce is extremely high in salt, and even a small amount from a cooked dish can contribute to sodium poisoning in a cat. Watch for signs like excessive thirst, vomiting, diarrhea, or lethargy in the next few hours. If your cat shows any of these signs, call your vet for advice.
Soy sauce — Food safety facts
Feed with care · Cats · full breakdown on the linked food page
Extremely high in salt — a real risk of sodium poisoning if a pet laps it up.
The full verdict, portion guidance and serving notes are collected on the Soy sauce food facts page.