I did that for a while on 8th gen I7 mini pc, it should work. I fired up a Raspberry Pi 4 8GB eventually to move it over as I was sick of dealing with the Docker challenges. It started spitting out some compatibility warnings. If you are comfortable with docker, then you should be fine. I went with their OS installation on the Pi, it seemed to be a bit snappier and less maintenance on my end.
The answer is technically yes, but keep in mind that the fundamental hurdle is that Blue Iris is Windows only and Home Assistant will not run natively
on Windows - you will need a virtual machine or container of some kind to use both on the same PC. As #CamFan mentioned, using some containers,
such as the Home Assistant Docker image, can be challenging, whereas the Home Assistant OS installations, such as the Raspberry PI installation, are much
easier to manage, in my opinion.
What is your level of experience with Home Assistant? Do you envision a complex Home Assistant setup?
I ran Home Assistant on a Pi4 for a couple years. Eventually migrated to a recycled HP T620 thin client. It was cheap and has more CPU power than the Pi. Upgrading Our Home Assistant Server
I ran HA on my BI machine for about 3 days - I was also running unifi controller on my BI machine. I was having issues with my HA container hearing events properly on my network. I bought another cheap PC on ebay and set up proxmox and now run HA & unifi on their own container/VM on their own separate machine and have no regrets
