Yes, you can work for the police department without any graduation degree to uphold you back. You can apply for the post of constable after completing your 12th. All you need is to be physically fit and strong for being eligible to apply for this job.
The perks of getting a government job with regular salary increments and timely promotions is quite tempting. Once you have started working as a constable, other career opportunities open their gates for you like applying for CID constable or UPSC exams.
Starting Salary:- Rs.15,000 - 20,000