I believe I noticed flights between YFB (Iqaluit, Nunavut, Canada) and GOH (Nuuk, Greenland) a couple of years ago on a code share basis Greenlandair/FirstAir.
I believe it was a 727-100 that operated for a short time.
No, Nuuk is not jet capable at least to that extent. The First Air 727 flew Ottawa-YFB and then on to Sondrestrom (and on up to Thule on USAF
Not sure what is going on now.
In the past there have been Firstair 748 and Greenlandair Dash7s from YFB to Narsarsuaq and Nuuk.