Yes, it can. Of course, that is a lot of pixels at a pretty good frame rate so your performance will depend on your application. And, be aware that the single USB-C port at this particular speed supports such a thing and does not have throughput for much else. So if you are simple using the adapter, you should be fine. If you plan on a dock, carefully review what it is capable of in conjunction with this computer.
Also, Apple may not mention it prominently because, one, they have a MacBook Pro they can sell you that will perform better; and, two, when they first introduced it (in 2015), 4K at 60Hz was not supported. Then mid-cycle in 2016 with new hardware and software, it could work but was not officially supported. Now it is, and happens to work even better of High Siera, I think. May be optimization of drivers or perhaps animation optimizations. Maybe both.
I wish they would make a Mac mini from the guts of a MacBook. It would be silent, have enough oomph to drive 4K, and have modern internal I/O.