Yes, if you go into the Data Management section in the System Settings you can check the last time you checked into a game. This section will not tell you how long you have played each game.
Yes you can, but this takes some setting up. In order to see more detailed information, such as the daily play time and a monthly summary of play activity, you’ll need to link your Nintendo Switch console to the Nintendo Switch Parental Controls app on your iOS or Android smartphone.
To do this, you’ll need to log into your Nintendo account via the Nintendo Switch Parental Controls smartphone app, where you’ll receive a code. From here, you’ll need to enter this code into your Nintendo Switch console’s Parental Control settings, and select Link.
Once you’ve done this, re-open the app on your smartphone and the more detailed activity information will be displayed there.
Nintendo does allow you to set a play time limit, although this will require the Nintendo Switch Parental Controls app, so make sure you’ve linked this up with your Switch console. On the app, tap Console Settings then tap Play-Time Limit. From here you can set the time limit desired.