According to the SFA archives, no.
The team that won the SFA cup in 1891 was Hearts.
The team that won the SFA cup in 1892 was Celtic.
The team that won the SFA cup in 1904 was Celtic.
The team that won the SFA cup in 1913 was Falkirk.
The team that won the SFA cup in 1874 was Queen's Park.
The team that won the SFA cup in 1875 was Queen's Park.
The team that won the SFA cup in 18786 was Queen's Park.
The team that won the SFA cup in 1877 was Vale of Leven.
The team that won the SFA cup in 1878 was Vale of Leven.
The team that won the SFA cup in 1879 is Vale of Leven.
The SFA cup winners in 1884 were the Renton club team.