Can I complete distance electrical engineering without attending classes or taking exams?

Are you joking? You don't even want to give exam too. Have you seen someone who has did that and became an engineer? To dull it down for you, distance engineering is impossible. Whoever is telling you that it is possible is outright lying.

Evening/distance/online/part time engineering courses are not valid any more as per the latest supreme court verdict, hence would recommend you to join regular B.Tech course for better career prospects http://www.tribuneindia.com/news/nation/no-technical-education-through-correspondence-says-suprem