Objective C framework in Unity

Is it possible to use a mylib.framework written completely in Objective-C in a Unity app without modifying the framework library?

I’m not familiar with mylib.framework in particular. However, in Unity you can, in general, use libraries of native code written in C, C++, Objective-C, etc. See:

Native plug-ins

Building Plugins for iOS

Building and using plug-ins for Android