Government Polytechnic, Mumbai

Yes, you can take admission.

Kindly visit this link:
https://www.shiksha.com/mass-communication-media/colleges/sound-engineering-colleges-mumbai-all

You can get admission in this college only after clearing Diploma entrance exam. You cannot get admission directly in this government polytechnic college. So, apply for the entrance first.
Best of luck.

Lateral entry in second year is entirely dependent whether the college is offering the same or not
Government polytechnic Mumbai does not offer lateral entry option , check out the link below for details :
https://www.shiksha.com/college/government-polytechnic-bandra-east-mumbai-24094/courses?ct[]=151&lo[]=312

Eligibility Criteria for Admission:
Candidate must have passed Diploma/ Graduation from a recognized board/ college/ university.
Or,
Candidate must have passed 10+2 from a recognized board and must have 2 years of working experience.
Or,
Candidate must have secured minimum 60% marks in Fire and Safety 6 month's course (only for students studying under Continuing Education Program of Government Polytechnic, Mumbai).
https://www.shiksha.com/engineering/course/advance-diploma-in-industrial-safety-government-polytechnic-bandra-east-mumbai-287422

Go through the reviews below for all the details:
https://www.shiksha.com/college/government-polytechnic-bandra-east-mumbai-24094/reviews

Hello Ajay,
There is only Advanced certificate in industry safety not advanced diploma program and it is offering in continuing educational programme in mechanical engineering department. Class 10th pass, class 12/ITI/NCVT passed is eligibility criteria. Course duration is 12 months. Fees structure is INR. 32,600.Similar course is Certificate course in Fire and industrial safety. Fees structure INR. 17,300.All the Best for your future.

Hello Sakshi,
It's very nice to hear from you are interested in doing your graduation in food technology from ICT Mumbai. However I could not lay my hands on any paper or information where ICT talks of lateral admission. It is understood that it is not allowed. But if you reside in Mumbai then I would advise you to go to Matings and find out from the institute itself. I am attaching a link that will give you all the required information about different aspects of the admission process of ICT.
https://www.shiksha.com/university/ict-mumbai-institute-of-chemical-technology-udct-36791/admission
Best wishes to you.