Hi my name is ***** ***** I will be the expert working with you today to help resolve the problem you have posted.
Most of the websites that let you purchase Bitcoins with SMS/phone payments require you to send a text message or make a phone call to get the Bitcoins, but every site is different and has its own requirements.
Here are links to some websites that allow you to use SMS/phone payments to purchase Bitcoins:
I am sorry there were few links which was broken.
I would like to tell you that you can purchase bitcoin using your phone by sending sms and following the steps on the given website that will deduct your phone credit for the same.
I will open the question to other experts for there input. Please do not reply to this message you will get an email as soon as an expert repiles to this question.
Currently, there are no places that allow purchasing bitcoin through that method.