Using contents of cell as source data for chart

Is there a way to use the contents of a cell as the "Values" and "Axis Labels" under Source Data in a chart?

I found posts on using the OFFSET command in conjunction with named ranges to display dynamic charts, but I was looking to use a slightly different approach.

I have a template in which I already have formulas set up that display the ranges of what I want to use as the values and labels for my chart. I was hoping there was a way to just set those equal to the contents of those cells.

If I am not explaining this well...
The contents of cell E66- a3:a33
The contents of cell E67- b3:b33
E66 would be the labels
E67 would be the values

You could use a name to get the values out of the range using Indirect(), as Andy said, but if I understand correctly you can't (or don't want to) use names?