His mother, Patricia Moore, was killed in a car accident in Adelaide, before his 10th birthday.
He made his breakthrough when he won a role on the Australian television soap opera Neighbours.
Wood portrayed Angus Henderson, a man who has an inappropriate relationship with Rachel Kinski (played by Caitlin Stasey).
The show premiered on CTV Television Network in Canada before moving to MuchMusic.
In 2016, Moore was cast in a recurring role in the second season of NBC's Blindspot.