The cycle does not need any light as I understand that you don't have any plants.
The beneficial bacteria is mostly building in the filter, and over time on decoration and glass walls. So yes, it will cycle. In fact, I am cycling a bare bottom QT right now with two sponge filters, and it is moving along nicely.
Thanks!Adding light with your cycling and no plants will cause an algae bloom kinda like this. (I didnt know till after I caused the bloom)