It seems that a List object cannot be stored in a List variable in C#, and can't even be explicitly cast that way.
List<string> sl = new List<string>();
List<object> ol;
ol = sl;
results in Cannot implicitly convert type System.Collections.Generic.List<string>
to System.Collections.Generic.List<object>
And then...
List<string> sl = new List<string>();
List<object> ol;
ol = (List<object>)sl;
results in Cannot convert type System.Collections.Generic.List<string>
to System.Collections.Generic.List<object>
Of course, you can do it by pulling everything out of the string list and putting it back in one at a time, but it is a rather convoluted solution.
Yes, you can, from .NET 3.5:
Here is another pre-.NET 3.5 solution for any IList whose contents can be cast implicitly.
(Based on Zooba's example)