No, you can't use your Aadhar card details to fill another application form as it might get rejected.

Can you please tell me which mistake you have done in your application form?

Correction in the error of  filling your name/father's / husband's first name / last name/mother's first name/date of birth will be allowed. The applicants will have to send a letter to the competent authority, MHT-CET, Mumbai. This letter should be submitted before the announcement of results and should be accompanied by SSC mark sheet.