Seek and ye shall find:
From the
BA site:
- On British Airways flights, children under the age of 12 years must be accompanied by a person of 16 years of age or above.
- The person accompanying the child can be a family member, guardian or
other appointed person.
- Otherwise the child must be registered with our Skyflyer Solo service or we will be unable to accept them for travel.
So, probably, yes.