One of the many reasons people chose to live in Wyoming is the beauty of nature. Whether it's the view of the mountains or enjoying the wildlife (from a safe distance), there's an obvious reason we call it "Wonderful Wyoming".
Generally speaking, it's always a good idea to keep your distance from wildlife. This is especially true of elk who this time of year are particularly feisty. One big elk in Colorado recently proved that point by challenging all of the vehicles everywhere.