Please have a look on the attached pictures.

One Green color single wire is attached to this sensor and it broke today .

Same sensor is attached to VTEC solenoid as well.

Will it let the car start/run or no? Also, can I fix it by myself because wire kind broke, right at sensor edge.

 

That is your VTEC solenoid wire/plug and no your car will run just fine with it disconnected. But your VTEC won't work.

 

Thanks for the reply man

Will it throw any CEL? Also, can it be replaced/fixed, because that sucker broke right at the edge of the sensor