No, their T&Cs state this :
Package booking Terms and Conditions | Legal | British Airways
8.3. We are only liable to you for cancellations or significant changes to your booking by us. A significant change is one that we make to your booking before your departure that affects an essential term of your contract. Examples of a significant change includes changes by us to:
- your destination area;
- your booked accommodation to that of an alternative property of a lower rating;
- your departure times or accommodation occupancy periods by more than 12 hours