Yes, if the pinkish one is within the range of color adjustment, but it means you'd have to readjust the settings every time you changed monitors. If the monitor can be adjusted, resetting the software every time sounds like a hair raising PITA.
First, check to see if the color temp and settings for the pinkish somehow got changed. I have seen this happen in some monitors for no apparent reason.
The color management adjustments should be in the video settings for your software. From the desktop, move the cursor so it's not over any icon, right click, and select Properties, Settings, Advanced. The amound of color adjustment you can do is determined by the software and drivers for your vid card. It may give you the option of more than one preset profile so you can switch between them.