Absolutely. There are several ways of doing it:
3 Year LLB Programmes
A degree of law in India can be obtained in two ways: After 12th (5 Year BALLB (H) course) and after graduation (3 year LLB (H) courses). You can enroll yourself for 3 Year LLB courses at law colleges that offer the programme, like: Government Law College, Mumbai; Jamia Millia Islamia, New Delhi; Indian Law School, Pune; Delhi University, New Delhi and various other State Universities. You may enroll yourself in Evening Courses (Delhi University offers one) while working at your firm during the day. The course isn't that difficult for I know someone who worked during the day at law firms, to get a hands-on experience, while pursuing his 3 year course in the evening.
Once graduated, you are at par with any graduate of law and eligible to practice law.