The traditional parallel port is a 25 "d-sub" connector. Serial ports come in two flavors, either 25 pin "d-sub" or 9 pin. USB (another serial communication standard) is a different animal.
A common serial port has either nine pins (by far the most common) or sometimes on very old equipment 25 pins. It turns out that they are completely compatible with a very simple adapter... the older...
A serial port is a totally different electrical device thus, as far as I know, can not be converted to a parallel port due to differences in protocols and baud rates/data rates on the port. You can...