No. Candidate can not pursue two courses simultaneously. BCI 2008 rules forbid. However certificate courses (Short term) on computer, languages etc. can be pursued.
BAR COUNCIL OF INDIA Part –IV Rules of Legal Education Rules on standards of legal education and recognition of degrees in law for the purpose of enrolment as advocate and inspection of Universities for recognizing its degree in law under Sections 7(1)(h) and (i), 24(1)(c)(iii), and (iiia), 49(1)(af),(ag),and (d) of the Advocates Act, 1961 made by the Bar Council of India in consultation with Universities and State Bar Councils
Rules of Legal Education - 2008
Preliminaries and Definitions
6. Prohibition to register for two regular courses of study No student shall be allowed to simultaneously register for a law degree program with any other graduate or postgraduate or certificate course run by the same or any other University or an Institute for academic or professional learning excepting in the integrated degree program of the same institution. Provided that any short period part time certificate course on language, computer science or computer application of an Institute or any course run by a Centre for Distance Learning of a University however, shall be excepted.