No. Wheelhouse sets your prices. It doesn't sync reservations between channels or block dates when a booking comes in.
For example, if a date is booked on Booking.com, Wheelhouse won't block that date on Airbnb. Your property management system (PMS) or channel manager keeps your calendars in sync.
To open or block dates, change them on the channel or in your PMS. See Can I block or unblock my calendar on Wheelhouse?