Overloading with identical parameters but different type results

The answer is probably no, but it can't hurt asking - is it possible to overload a method to accept same parameters, but return different type results? For example,

string[] x = TestMethod("fnord");
string x = TestMethod("fnord");
        private static string[] TestMethod(string statement)
        {
            return new string[1];
        }

        private static string TestMethod(string statement)
        {
            return string.empty;
        }

Naturally, I get an ambiguous statement error - while I know I can simply name the methods differently {i.e. ToArray, ToDataTable, ToDataReader, etc.}, I'm curious if there's a more elegant way to do it.

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C# newbie, learning on the go. I will probably ask a lot of followup questions about any answers already given, so fair warning and all.