If you view a minimal feature store as a single key-value store with the latest feature values, you could easily do that in Kedro. (Our feature store defaulted to Redis, you could use Valkey or some hosted solution.) Just requires another dataset write.
Whenever you batch compute a feature, you want to write to both file storage (full historical record) and the KV store (fast lookup by feature key).
https://huyenchip.com/2023/01/08/self-serve-feature-platforms.html is a pretty good writeup based on our experience researching and building a feature store, if you want additional context--and then you can back into the minimum viable solution for yourself from there.