Generally, no. The rim is designed to be the highest point on the coin to enable the coins to stack properly, and protect the central design details. If the eagle's breast or her shield were the highest point, you would not be able to stack the coins and they'd be all wobbly. This is one of the technical aspects of designing a coin that was figured out during the pattern process. Sometimes the mint got it wrong and had to redesign the coin so that it would stack properly.
I thought it was a 61 or 62, as well. Too many contact marks, and high spots are not as sharp as they should be. My first impression was that there was minor friction on spots, and was at AU-58. So, I think it is a slider—anywhere between AU 58 and MS62.