is there any college in which MBA IS MEANT FOR engineers specifically?

Yes, one of the Best one is NITIE, Mumbai.

It offers two programs which are for Engineers and is a Management Program.

1. PGDIM

2. PGDISEM

The Score of CAT, GMAT is considered for admission.

The course duration is of 2 years. .

A minimum of 60% aggregate marks is required in graduation for eligibility.

PGDIM : Post graduate Diploma in Industrial Manaagement.

PGDISEM : Postgraduate Diploma in Industrial Safety and Environmental Management.

Yes, you can easily switch from Engineering to Management, Many of Engineer who find later that Engineering is not for them they choose to do MBA. Some of them do MBA to get a management position in the Corporate world.

Even if you think You can Go for IIM you can appear for CAT and if you have a good academic background then You will be able to get into IIMs to complete Your management studies.