That module operates at 2.4GHz at 9600bps using a proprietary frequency hopping system.
I do not think any smartphones that could directly receive a signal from that module.
Many smartphones have 2.4GHz radio's for wifi and bluetooth but I don't think they are compatible with the protocol used by that module.
Without connecting extra hardware to a smartphone I think that wifi, bluetooth or infrared are the only options.
For a device to use wifi to connect direct to a smartphone, rather than via an access point, you would need a wifi module that can do ad-hoc mode.