Dear Shaurya, yes definitely there is competition for debating. Not exactly debating but debating as its part.

You can take part in MUN or Model United Nations is an educational simulation and/or academic activity in which students can learn about diplomacy, international relations, and the United Nations. MUN involves and teaches participants speaking, debating, and writing skills, in addition to critical thinking, teamwork, and leadership abilities.Usually an extracurricular activity, some schools also offer Model UN as a class. It is meant to engage students and allow them to develop deeper understanding into current world issues.

You can register for it via online as an independent delegate.

All the best

Hope this helps.