A decent quality 550W would be more than sufficient for a 1060.
The Huntkey however, is nowhere near 'decent' quality.
I can't find definitive reviews of that specific unit, but it's a revamp of the "Green Star" line IIRC:
http://www.hardwaresecrets.com/huntkey-green-star-550-w-lw-6550sg-power-supply-review/10/
Huntkey Green Star 550 W is as flawed as the other members from the Green Star family: LW-6550SG exploded when we tried to pull its labeled power.
When we pulled 80% of the labeled capacity (around 427 W in our tests) efficiency was low at 77% and ripple and noise were above the maximum admissible (157 mV at +12 V and 58 mV at +5 V).
Read more at http://www.hardwaresecrets.com/huntkey-green-star-550-w-lw-6550sg-power-supply-review/10/#o3cLbRhev3hwtPQU.99
Depending on the rest of your specs, you *might* be ok, but I wouldn't recommend using it at all.
A PSU upgrade (which should set you back no more than $40-$50 for a quality unit) is definitely worth the investment.
Don't risk your shiny new 1060 with a junk PSU.