Well on paper the Intel UHD 630 does support high refresh rate, but whether it supports that on DVI is up to the motherboard vendor.
Having said that, if you are planning on gaming with this high refresh monitor, hooking up to the integrated graphics will not offer you a good experience. You will not be able to have your Nvidia or AMD GPU render the game and then output it through the integrated graphics chip, so you'll get Intel integrated performance eg. struggle to get 30FPS at low settings.
If you are unfortunate enough to have a 144Hz monitor with no DisplayPort support, your only two real options are either buy a new monitor that has DisplayPort, or buy a $100 active adapter that converts Dual Link DVI to DisplayPort.