Does installing wine pose a risk of virus infection? I'm afraid a powerful virus can bypass wine sandbox and gain access to root linux.
You can execute native executables inside wine, so if the virus knows what to do with a native executable, and if you have write access to the executable, then it is possible.
Wine is not a sandbox, it is a compatibility layer. There is nothing preventing code from crossing back and forth other than a lack of programmers with the knowledge and desire.