No, it is not possible to apply for an India visa on arrival at the airport. Eligible citizens have the option of applying for an e-visa for India online, prior to their departure for India, which will allow them to have only their biometric information taken at the airport and the visa stamped inside the passport once there. It is very important to know that the visa application must be submitted in advance, and approved before you can even board a flight to India; the process takes several days and cannot be done on arrival in India.
Airlines have made a practice of checking this document on boarding to avoid repatriation at their expense. A " pending " e-Visa application is not allowed to be checked.