School governors do have the say on how their school is run and who is employed and whether to sign up for BSF or not (quite rightfully too). But Local authorities do have a responsibility to account for how tax payers money is spent in their authority and have been known to claw back underspend from schools and audit their accounts.
It is up to local authorities to determine the basis by which the Harnessing Technology grant is allocated to individual schools. This arrangement is intended to give local authorities flexibility to use funding to target local priorities. At its most straightforward, distribution can occur on a per pupil basis. However, there may be benefits to adopting a more strategic approach in which a local authority targets schools facing particular challenges or circumstances to receive a greater proportion of funding.