This used to be a big No No but in recent years with rifles like the Tikka on plastic stocks I've heard of the point of impact going back to within 4 or 5 cm at 100m when the stock is put back on. My Sako 85 does.
So it should be OK for a bush hunt.
Try it out on the range a couple of times and you might find you can just do it and save some ammo and petrol resighting over the years to come. Do recheck your point of impact with a 5 shot group every 6 to 12 months too even if you haven't done anything drastic and that will give you confidence your rifle holds zero or at least you know how much it wanders (shouldn't be more than 2 or 3 cm from one session to the next, assuming you are shooting a 5cm group of 5.
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