Yes, of course! You can plan it that way, so maybe you want to go out for a meal and drinks first for 2 hours, and then book 2 hours more private time.  You would be paying Non Contact Rates for the first 2 hours, then Personal rates for the second.

If you booked a Non Contact date of 2 hours, and decided you wanted to extend it to a personal date, then the personal rates would apply from the agreed time.