Yes. But this does not mean that some cyanobacteria can not survive without light, because some of them are mixotrophic (heterotrophic and autotrophic).
If you are interested in alternative cyanobacteria in terms of photosynthesis, i recommended you the anoxygenic photosynthesis, where bacteria uses sulfur compounds as electron acceptor. This is very interesting for research.
Recommendation: "Surfur metabolism in phototrophic sulfur bacteria" by Frigaard & Dahl.