Do you have any specific question on how to do this? In general the RadCartesianChart can be defined either through XAML or C# (or both). So, yes, you can set up your chart in C# completely. I have attached a very simple app to demonstrate this. The C# code in the ctor is the equivalent of the commented XAML.
Note that I have used both PropertyNameDataPointBinding and GenericDataPointBinding. This is only to demonstrate the alternatives. The XAML parser creates PropertyNameDataPointBinding, but I think in code behind it is much more convenient to use the GenericDataPointBinding.