Ditin in your situation as you haven't attempted JEE Advance not even a single time before then yes you can definitely attempt JEE Advance if you clear the following conditions:

• When you gave the JEE Mains exam earlier 2 times you haven't cleared JEE Mains cut-off anytime and even if you have cleared the cut-off then also you didn't even register for the JEE Advanced examination
• Your age should be less than 25 years i.e. to be eligible, the candidates should have been born on or after October 1, 1993. SC/ ST and PwD category candidates will get a relaxation of 5 years i.e., they should have been born on or after October 1, 1988.
• You will need to clear the JEE Mains 2018 cut-off in your respective category

If all of the above conditions are satisfied then as you can give JEE Advance only 2 times that too in 2 consecutive years and you will be giving it for the first time then you are eligible for JEE Advanced examination and it will be first and last time for you because for JEE Advance examination you need to clear JEE Mains examination which can only be given maximum 3 times so you cannot re-appear in any of the exams next year.

Feel free to ask if you have any more queries. All the best!!