No, the Town no longer has a Personnel Board.
The decision to place the duty regarding town personnel with the Town Manager was made by the voters in a public process at Town Meeting by adopting the Charter in 1996. This vote substantially changed town government in Nantucket to meet the expanding scope of the Town. This Charter was then passed by the State Legislature and signed by the Governor and codified in Chapter 289 of the Acts of 1996. The Town Charter created the position of Town Manager* and transferred the functions previously performed by the Personnel Board to the Town Manager. The Charter sets out the duties of the Town Manager in Section 4.2.
*position title changed from Town Administrator to Town Manager in 2007