The only independent candidate who tried to get on the Wyoming ballot for President this year was Jill Stein. However, the Secretary of State has determined that she didn’t have enough valid signatures. Wyoming requires a petition of 2% of the last Congressional vote, which is tied for being the second-highest presidential petition requirement in the nation. Only Oklahoma has a higher percentage for President, when the easier of both methods (party and independent) for each state are compared.
An independent candidate for U.S. House also tried to get on the Wyoming ballot this year, but his petition was also found invalid.