Yes. Though I suspect you mean at the national level. There are several independents in the United States' Congress who caucus with the major parties. Joe Lieberman is obstensibly an independent (which is similar to being 3rd party but not entirely the same) in the United States' Senate. At the state and local levels, however, 3rd party membership is far more common. Local governments commonly have non-party-affiliated officials, Green Party officials, and some that are even less well known.
If the citizens are adequately frustrated with the outcome of the 2-party system, then it is feasible that a 3rd party could emerge. However, it would be far more likely for an anti-establishment candidate to emerge within the 2-party system itself. The 2016 presidential candidacies of Bernie Sanders and Donald Trump exemplify this.
It is a single issue political third party.
The Prohibition Party was, and continues to be, a single-issue political third party.
The Prohibition Party was and is (it still exists) a single issue third political party.
the Democratic party
The Democratic Party.
The Green Party is a third party and was formed in the US
The Libertarians is the other guys. They are liberals.
The populist party was a radical agrarian-oriented American political party in the US from 1887 to 1908. The greenback party was an American political party with an anti-monopoly ideology which was active between 1874 and 1889.
It is a single issue political third party.
An independent third party is simply called an independent party. This is typically a political party that does not affiliate with the republican or democratic side.
The People's Party, or the Populist party.
The major parties are the Republican and Democratic parties. Third-parties include the Liberatarian Party, the Green Party, the American Party, and the Constitution Party.
They don't. We don't have third party candidates of any political significance.
The Prohibition Party was, and continues to be, a single-issue political third party.
A political party organized as opposition to the existing parties in a two-party system.
The Federalist Party.
Yes, the liberty party was the first political party in the United States.