Windows Forms data binding recognizes the ICustomTypeDescriptor
interface, which allows an object to decide at runtime which properties it presents to data binding. So if you write an implementation of that, you can tell Windows Forms that you have whatever properties you feel like having, and you can decide how to implement them.
Of course, that may not help - if you wanted to avoid adding a property, you may also want to avoid implementing a fairly complex interface. The obvious solution would be to write a type whose job is to act as the data source and bind to that instead of whichever object you're currently binding to.
Of course, if you do that it's probably then easier just to implement whatever property you were going to implement on that wrapper instead.
In general with databinding, you want to avoid binding directly to some underlying model, precisely because you don't want to have to add things to your model purely for the benefit of the UI. This is why 'separated presentation' is very popular - instead of connecting the model and view directly, you stick something in the middle whose job is to mediate. Some call this a viewmodel, some call it a presenter, but the basic principle is always separation of presentation.
It sounds like you're trying to achieve separate of presentation (which is good) but without introducing an extra type so that this middle layer has somewhere to go. Why not just define a class (or a set of classes) to act as that layer?