The law does not allow for that.... do the work myself (ie the cables, boxes etc) and then get a qualified sparky in to give it the once over and hopefully all beign well connect it up and sign it off.
The ONLY options are :
a) The sparky does the work and notifies through his approved body - note that he is required to sign a form stating that he designed and installed the system.
b) You notify your local authority building control dept, pay their fees, do the work, tell them you;ve done - and they provide a certificate. You may also have to either pay a sparky to do test, or pay extra for LABC to do tests, before they'll sign it off.
However, I think this does not need notification. The circuit already exists (albeit having been temporarily disconnected while the water ingress was sorted) - so all you are doing is altering an existing circuit. You still need to comply with "Part P" which effectively means complying with BS7671 (aka "the wiring regs).