I think answer is yes.

CBI can register an FIR when
1) It receives information
2) After receiving information, if it holds an preliminary inquiry,
3) Then after inquiry only, if it thinks fit, it can register FIR, and thereafter it can investigate.

4) CBI can investigate a crime falling in some State, only and only if State Govt refers to it or if Supreme Court or High Court so directs.

CBI is under Delhi Police Act but after FIR is registered it has to investigate and proceed as per Criminal Procedure Code.

Haresh Raichura
9/1/12

I read this story long ago in news. Probably about a foreign country.

A girl was trapped in a room by rapist. The girl quickly took photo of rapist and emailed it instantly.

Then he talked with rapist and said, ” Look, I have already sent your photo by email to police…. Now if you will do anything to me, you will be caught..”

The rapist had to let go her.

A mobile phone with camera and email id of police, saved her life.

Haresh Raichura
7/1/2012