You're playing version 0.5b, right? The free demo? Well, version 0.11 (the most recent version) actually goes up to day 10 already, so... yes, the game will/does continue after day 5
Viewing post in Will there be more to the game than just 5 days?
You didn't here this from me, but... you can get the game for free here: https://f95zone.com/threads/blooming-love-v0-11-bright-sun-studios.6975