No... SolidWorks stopped development on SW2006 with the last SW2006 Service Pack eight years ago.
Your fix is to uninstall the Win7 update that broke SolidWorks 2006 or upgrade your version of SoildWorks to SW2014.
You will have to run without the MS updates. I very much doubt SW would spare resources to find a fix for such an old version.
Maybe you could reinstall the MS updates one by one to determine which caused the problem.
On a side note, Microsoft fixed the break with another update, so 2006 is back to working great on Windows 7