Yes, it is compatible.
Go ahead and try it.
You may find that the cooler gets noisy under load.
And, you may need to run at the stock clock or even less.
I had an extra I5-6600K which I installed in a small ITX case. It ran just fine with an old stock cooler but it was noisy.
Two things to do:
1. Make certain that the cooler is mounted well.
All 4 pushpins should be through the motherboard and locked.
2. Insure that your case has plenty of intake airflow so the cooler can do its job.
You always have options to reduce the multiplier if you need to.
I doubt you will though.