Yes! Clients can log their workouts in the app only, and you can view their workout history and individual exercise progress from all sessions.
To see the client's previous history, on the website, go to a client profile and, click on the "log" tab, choose one of the workouts to view.
You can see 3,5 or 7 days at a time. This can be adjusted in "Configuration" > General settings > Number of days to show in logs
In the app, you can go to the client workout plan tab, then tap the calendar icon at the top right corner and there you can view the logged workouts and the exercise history.