Yes, but I've always taken that to mean that he looked like us, in the form, shape image of sinful flesh.
I wouldn't say that Jesus had flesh that was full of sin.(sinful flesh) Jesus had to be without sin right up until he was made sin, or if we say sin was placed upon him. The sacrificial lamb had to be without spot or blimish.
Just think about it this way. Jesus suffered physically just as he suffered spiritually. He paid the full price both physical and spiritual. In order to pay that price for us, he had to not owe it for himself. In other words, if his flesh was sinful then it would have paid it's own price for sin and couldn't pay the price of ours.