Yes! Tutorpeers offers an ability to control your availability in your profile settings!
In order to adjust your availability go to settings https://app.tutorpeers.com/settings
Scroll to the Availability section, here you will see two toggles (see screenshot below)
If you turn off Scheduled sessions Learners won't be able to schedule a session with you - unless you're online.
If you turn off Instant sessions Learners won't be able to initiate an instant session with you - even if you're online.
If you turn off both - your profile will not show up on the marketplace at all, essentially being hidden, and learners won't be able to book or begin a session with you at all.
Please be aware that upcoming sessions will not be canceled automatically.
Not sure what is an Instant session? Read more: What are Instant Sessions?