The answer is yes/no/it depends!
If you want simultaneous two way communications between the ends of your link using similar frequencies for tx and rx, the answer is no. The transmitter in close proximity to the receiver will overload and de-sensitise the receiver. It is possible to add filtering to the antenna circuits to overcome this problem but the closer the tx and rx frequencies, the more difficult it is to build a filter of suitable performance.
However, if you use two widely separated frequencies which are not harmonically related, there is a very good chance it will work. Use separate antennae for tx and rx and separate them as much as you can.
Looking at the Linx website, they do frequencies arround 433Mhz and 300 (ish, cant remember exactly), if you try these, one end tx at 433Mhz the other end at 300Mhz, there is a very good chance tha this will work.
Best to check with the radio regulating authorities (FCC in the USA) to ensure that the chosen frequencies are acceptable in your country. Linx themselves may well be able to advise.
JimB