No, it's not the same text, and there is more that one servant.
Only be thou strong and very courageous, that thou mayest observe to do according to all the law, which Moses my servant commanded thee: turn not from it [to] the right hand or [to] the left, that thou mayest prosper whithersoever thou goest.
Joshua 1:7
And YHWH said, Like as my servant Isaiah hath walked naked and barefoot three years [for] a sign and wonder upon Egypt and upon Ethiopia;
Isaiah 20:3
And it shall come to pass in that day, that I will call my servant Eliakim the son of Hilkiah:
Isaiah 22:20