He said the building seemed to be in reasonably sound condition and could be moved and "appropriately resited".
It has no heritage protection registered with Heritage NZ/Pouhere Taonga or the South Wairarapa District Council Combined Wairarapa District Plan.
"Time and fate is of the essence.
"We can probably only hope at this late stage that a sympathetic landowner successfully tenders and is then agreeable to the old station being moved back into Greytown," Mr Minehan said.
He said removal would most likely depend on a building removal company or a trucking firm doing the job for free and that there was a precedent.
"In the 1980s, the Greytown community and a local company successfully moved and resited the old Masonic Hall from West St to Stella Bull Park on Main St. It became the town's library."
He said the trust supported a proposal for the old station to be shifted to the proposed William Nation Arbor Day nursery/woodlot on South Wairarapa District Council-owned land off Cotter St.
"The idea is the building to be closed in and secured as an implement shed or something similar.
"Alternatively, the trust would expect significant and immediate interest from Cobblestones Museum. They already house Greytown's first church and hospital," he said.
The trust hoped the hugely successful Greytown Trails Trust would take "more than a passive interest in this issue".
"Those wonderful people initiated and made a bicycle trail from Cotter St, Greytown to Woodside Station.
"It follows the route of the old Greytown railway branch line and is very popular," Mr Minehan said.