I'm sure no one from RIBnet would object, but the authorities would.
From the Port of London Authority web site
"Except in specially defined areas (see below), the use of Personal Water Craft (PWC) – i.e. jetskis, jetbikes etc, water-skiing, aquaplaning, and parakiting are not allowed on the tidal River Thames in a fairway or within 200 metres of any public beach, bathing place, residential property, wharf or jetty.
The only authorised areas for PWC are:
Fobbing Creek - Launch at Pitsea Hall County Park
West Beach, Southend - Contact Southend Council Pier and Foreshore Office"
Not good news I'm afraid!