As long as you do Leptospermum at the right time.
The Manuka is a little more sensitive but its still very do-able.Again, timing is the key.
Hit it JUST as the buds caps are turning a lighter colour (bud activating)...REMOVE any flowers prior to doing this and cut off at least two thirds of the foliage mass.
Cutting right back to the stump or bare trunk is fine too (probably more favourable).
In Australia, most leptospermum species have budded by now so waiting until the next flush of growth is the best option (not sure how its going in NZ).
Heavier roots can be cut, as long as you try to keep as much feeder root as possible.
Dont do anything else to the tree until next season...leave it be for now and keep it sheltered (maybe 2 hours of morning sun) and well watered until you see bud activity (DONT let it dry out at this stage or that's it...dead Manuka!).
If you can supply a humid environment, this will also help greatly.
It will definately flower again but unfortunately, you'll have to wait until next season. It may flower sporadically around Autumn but only if the tree has developed enough roots to support this.
Use a WELL draining mix as you'll need to water it quite often for the first few weeks (USE RAIN WATER IF POSSIBLE).