Individuals or couples in Wyoming, who claim bankruptcy, can choose to file under Chapter 7 or Chapter An attorney is also accustomed with exemption laws. Plus, they can come up with creative.Information on bankruptcy exemptions. Which assets and property can be protected in a bankruptcy case? California’s Bankruptcy Exemptions. See About California’s New Increased Homestead.The Wyoming bankruptcy exemptions chart, see below, details the property you can exempt or protect from creditors when you file bankruptcy in Wyoming.