Hi Jayant,

Yes you can definitely apply for mhtcet.
Below is the eligibility criteria for MHTCET 2018:

• Indian Nationals who have passed HSC/12th class exam or its equivalent examination are eligible for appearing in MHT CET 2018.

• There is no age limit for appearing in MHT CET 2018. This means that there is no restriction about passing the qualifying examination in a particular year.

• Also, candidates appearing in the qualifying examination (HSC/12th) in 2018 are considered eligible for appearing in MHT CET 2018.
• MHT CET Eligibility Criteria 2018 for admissions

Also, 

1.Maharashtra State Candidates
Nationality: Only Indian Nationals are eligible
Educational Qualification: Candidates must have passed HSC/equivalent exam with Physics and Mathematics as compulsory subjects with any one of the subjects  Chemistry/Biotechnology/Biology/Technical/Vocational subjects. In these subjects taken together, the candidates should have secured a minimum of 50 % marks (for General Category) and at least 45 % marks (for reserved category and Persons with Disability candidates) belonging to Maharashtra State only).
OR
Candidates must have passed Diploma in Engineering and Technology and secured a minimum of 50 % aggregate marks (for General category) and at least 45 % aggregate marks (for reserved/backward category/Persons with Disability) belonging to Maharashtra State only.
OR
Must have passed B.Sc. Degree from a recognised university as defined by UGC with a minimum of 50 % aggregate marks (for General category) and at least 45% aggregate marks (for backward calss/Persons with Disability) belonging to Maharashtra State only. These candidates should have passed XII class with Mathematics as a subject
Entrance Test: Candidates must have secured a valid score in MHT CET 2018 (PCM) or JEE Main 2018 Paper I
2.All India Candidates (AI)
3.Jammu & Kashmir Migrant Candidates
4.Children of NRI/OCI/PIO/Indian workers in Gulf Countries (CWIGC), Foreign National (FN) Candidates
These candidates must have passed HSC or equivalent exam with Physics and Mathematics as compulsory subjects with one of these  Chemistry/Biotechnology/Biology/Technical/Vocational subjects and obtained at least 50 % marks in the above subjects taken together.

Good Luck!