Yes student you can as eligibility criteria says that bba + MBA (5 years) is an Integrated MBA Programme for all eligible class XII pass-outs aspiring for a career in the eld of business management. It is an innovatively designed dual degree programme that combines the undergraduate and postgraduate programmes BBA and MBA.

Integrated Program in Management Aptitude Test (IPMAT) 2019 was conducted by the Indian Institute of Management (IIM), Indore on May 10. The application form of IPMAT 2019 was available from March 14, 2019. Eligible candidates would be able to fill the online application on or before April 14, 2019. The national level test will be conducted for admission to the Five-Year Integrated Program in Management (IPM). As per the IPMAT eligibility criteria set by the conducting body, candidates must have passed their standard X/ SSC and Standard XII/ HSC or equivalent examinations with a minimum of 60 per cent aggregate marks. IPMAT 2019 will be conducted in computer-based mode across various test centres in India. Thereafter, candidates who clear the IPMAT 2019 cutoff will further be called for the selection rounds followed by the final admission process.

You can also refer the link mentioned below for more information.
https://bschool.careers360.com/exams/ipmat

Feel free to comment if you have any doubt
Good luck