Yes you can.
The taxman cannot stipulate what means of transport you can legitimately use for business travel, it's a matter for the company to decide.
AFAIUI you can also take your colleague as long as you are not obliged by your company to take him by flying him and you are not renumerated for carrrying him as a passenger.
The hire of the a/c and the fuel it uses are all tax deductable as long as it can be demonstrated that the trip was for business only.