No. I don't believe so. Personally, I don't vote anymore. If you are merely referring to the presidential election well I can say for certain it doesn't, the president does not win by popular vote, it's the electoral college that chooses the president. As far as bills and that sort, I feel that the research shows the ones that pass always provide some benefit to the government entity while offering a little or none at all to the general public. The larger the benefit to the public the larger the benefit to the government. People in Oregon became excited when marijuana was legalized here. They said things like: the system does work or it was our voice that changed the law. Maybe. I mean, it's been on the ballot numerous times over the past decade, and it wasn't until after Colorado legalized it and collected a tax revenue of over 2 million dollars in the first year, suddenly, states all over were miraculously legalized the long despised "gateway" drug. I am sure that the revenue had nothing to do with the sudden winning streak. Right?
In short; No. Your vote does not count. It is an illusion maintained to give the appearance of a voice, a say. A shout in the void.