It is quite possible? K-Mart only stocked the Turbo Grafx 16 at its initial release - I purchased the console as well as my first game (The Legendary Axe) at K-Mart… they never carried any newer titles and never restocked the console after mid 1990…
Children's Palace was the store my mother took me to every month (while she would shop at Pace) and I focused on purchasing TG-16 as well as SMS games as they were not available at most other retailers…