Year 8 student Kiritote Mackie presented Mr Peters with a photograph of the original Whananaki Bridge. Mr Peters' father, Len, was part of the team that built the bridge.
Mr Peters said Whananaki School needed a new classroom to stop pupils having to learn in its library.
"This school at Whananaki, which I attended as a boy, desperately needs a new classroom but the Government has no urgent plans to find an extra classroom. As a result 17 pupils are crammed into the school's library," he said.
The byelection on Saturday is expected to cost taxpayers up to $1million and was forced by the resignation of National MP Mike Sabin last month.
Eleven candidates are standing.
They are Adrian Bonner (Independent), Joe Carr (Focus New Zealand), Robin Grieve (Act Party), Maki Herbert (Aotearoa Legalise Cannabis Party), Adam Holland (Independent), Mark Osborne (National Party), Rob Painting (Climate Party), Mr Peters (NZ First Party), Rueben Taipari Porter (Mana Movement), Willow-Jean Prime (Labour Party) and Bruce Rogan (Independent).