Short answer - no. Longer answer - sulfur chemically is closest to oxygen. Could one have life based on a carbon-sulfur-hydrogen chemistry? It seems unlikely, there is just not enough possible compounds there. Humans would also find it very smelly

. Sulfur as a substitute for carbon - its not even close.
Carbon chemistry is really amazing, even beyond the fact that life on Earth is based on it. Because of the variability of carbon-oxygen, carbon-carbon, and carbon-nitrogen bonds, the number of compounds one can make, with a huge range of sizes, chemistries (polar vs. non-polar, for example) and structures, its just hard to beat.
What about carbon based life in a non-water environment? Water is a great solvent and seems very common in the universe, but I can't think of a quick answer to completely rule it out. It doesn't happen in earth-life, but people do a lot of carbon chemistry in non-aqueous systems.