Let's first define what is "Dial-Up". In AOL days, this involved a computer with serial port, a modem connected to that serial port, and a telephone line connected to the modem. The computer then would dial a number for AOL, and data connection would be established.
Mobile phones can eliminate serial port / modem / telephone line, with appropriate connection (in the past USB or IR, these days - BT). So, the question is what you will be dialing into.