Nope, google pine siskin. The male has the little bit of yellow shown on the right and the female is the brown. By this time of year the goldfinch should have much more yellow on it plus a black cap. Siskins will do something where they come in large numbers one year called interruptions, then you dont see them for years. They are always at the same feeders as goldfinches, house finches and sparrows, so it can be hard to seperate them. Look at the brown and white stripes on their bellies. This streaking is fairly sistinct and uniform. On the house finch, which can look very similar in the female, is more blurry, with a thicker bill. Remember, we built our tear to do more birding! Thanks for the id fun.
Ps if you go to the cornell website, there is a song and call feature. This will confirm it. Listen to the call and see if it is the same as your birds!
Also your feed looks to be millet. Siskins will eat millet, although they will eat thistle, but goldfinches want thisle!
http://www.allaboutbirds.org/guide/pine_siskin/lifehistory