Most of New Zealand people turned up to travel (4)
I believe the answer is:
roam
'travel' is the definition.
(roaming is a kind of travelling)
'most of new zealand people turned up' is the wordplay.
'most of' means to remove the last letter.
'new zealand people' becomes 'maori' (I've seen this before).
'turned up' is a reversal indicator.
'maori' with its final letter taken away is 'maor'.
'maor' backwards is 'ROAM'.
'to' acts as a link.
(Other definitions for roam that I've seen before include "wander around" , "Wander about aimlessly" , "Peregrinate" , "Stray" , "Ramble without purpose" .)