Doesn't look possible to me. Or rather, while it can be possible* it doesn't make sense - ethanol produced from the cyclamate would be terribly expensive.
I can just guess you think if cyclamate is so sweet and ethanol is made of much less sweet sugars, it can be possible to convert cyclamate to ethanol. Short answer: no, it is completely off. Ethanol is made of sugars by yeast, cyclamate is not a sugar, so yeast will not process it.
*In the worst case you can burn cyclamate, use some plant to convert produced CO2 to sugars, and the use yeast to convert sugars to ethanol. Possible? Yes. Makes sense? No.