It seems UCL do. Other than below ring the Admissions tutor for more advice. He will be able to tell you. I would ring Imperial. I couldnt find anything but from memory think they are one of very few universities who dont accept BTECs.
BTEC Level 3 Extended Diploma (QCF) D*, D*, D* to include Distinction in Maths for Technicians and Distinction in Further Maths for Technicians or BTEC Level 3 National Extended Diploma (RQF - teaching from 2016) with D*, D*, D* to include Distinction in Engineering Principles and Calculus to Solve Engineering Problems. Modules relevant to Electronic and Electrical Engineering are preferred.