Yes. Indeed if you have a card which works on a Pi3 it will work on all Pi models.
There are a few restrictions; if you have purchased licences for MPEG2 etc these are specific to a Pi. Some distributions e.g. Ubuntu will not work on earlier models.
It is possible to configure the OS in such a way that operations will differ between models or individual Pi, but in general they should boot.
You should not attempt to run the same image on multiple Pi; they should have individual hostnames and not attempt to use the same IP addresses.