It is definitely doable, I have attached a citation and link below where the researchers tagged six. The trick is tailoring your individual fluorescent tags to your specific species. Do you know who you are looking to tag? If not I would get there 16S before buying tags, then check out:
https://www.arb-silva.de/fish-probes/
and
http://probebase.csb.univie.ac.at
Hope it helps,
Cheers,
Ceth
Thurnheer, T., Gmür, R. and Guggenheim, B., 2004. Multiplex FISH analysis of a six-species bacterial biofilm. Journal of microbiological methods, 56(1), pp.37-47.
Article Multiplex FISH analysis of a six-species bacterial biofilm