Good Afternoon

Hope you are absolutely fine, as per your query... Yes!!! you can get admission in B.E./B.Tech colleges in Mumbai from Management quota. There are many colleges in Mumbai who is offering admission in B.tech through reservation quota under management quota like; State quota reservation scheme, Sports quota, Management or NRI quota, Institute level vacant seats. you must have 45-50% marks in the 12th science subjects to take B.tech direct admission in Mumbai.

Some Private institutes has seats reserved for students who are looking for admission in B.Tech without any entrance exams, but the number of seats is limited to 25-30% of the total intake.

Fore more information checkout given link below
https://engineering.careers360.com/articles/btech-college-in-india-without-entrance-exam-fees-structure-fsa

Hope you found it helpful
All the best