"No" is the answer. Each make of RC gear has its own individual binding routine within its own individual hardware and software. Use only the receivers supplied by the same manufacturer and shown in their specification to be compatible with your transmitter.
There are limited exceptions to that rule. FRSky make receivers that work with (and only with) the Futaba FASST system, and there are some others in the aircraft arena.
When you buy your radio gear you commit to that manufacturer for all spares and replacements. HTH