Analog switches able to send bi directional digital information?
Yes, an analog switch is bidirectional. Being analog, it doesn't care what is being sent through it, analog or digital as long as it is within the specification of the switch. By the way, analog switches don't have sources or drains. They are CMOS transmission gates which is a PMOS and NMOS in parallel so each end of the switch has both the source and drain of a MOSFET.
Yes, what you are trying to do is theoretically possible.