Hi,
yes that´s possible. The OBD-Plug can be used with a serial port.
But you will have a small delay, because you have to ask for a specific value. From my tests you are able to receive about 4 values per second.
It´s very important with which vehicle you´d like to communicate, because the initialization process differs. And probably the commands, either.
To get the values directly from the CAN, which permanently transfers the data, you can use the CAN-BUS-Shield. This will be the easiest way.