Yes, it is possible for you to fight your own case in the high court. You can file the PIL in your name “in person” without engaging any advocate.
Please also see the following articles in this regard:
http://tilakmarg.com/answers/do-i-have-right-to-defend-my-own-case-in-court-without-lawyer/
http://tilakmarg.com/answers/can-i-fight-court-case-for-myself-and-others-without-advocate/
Dr. Ashok Dhamija is a New Delhi based Supreme Court Advocate and author of law books. Read more about him by clicking here. List of his Forum Replies. List of his other articles. List of his Quora Answers. List of his YouTube Videos.
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