At least with one student, yes. You can choose to fuck, be fucked, or have her fuck you as a futa. If there's more futa content, I'm unsure, as I'm still playing. This game is looooong.
Open your phone, and click on the right side of the screen. You'll see it highlight when you hover your cursor over it. There will be an app you can click on. Click "update" within the app. The quest will begin.