Convert label for plot in powert point to excel table.

If it's an embedded Excel object on the slide, you should be able to right click the chart and choose Edit Data. That will open a basic Excel window with the chart data table.

"The linked file isn't available. This error can occur if the linked files has been removed or hasn't been saved. Embedding the data instead of linking it can help avoid this error., but the data won't be updated automatically if it changes in the source file."

Is there any hope of getting the tabular data?

Yes. You can get it using a VBA macro. The code below accesses whatever chart you have selected and returns the values from the series number you enter, returning it as an array. You can also get the xValues this way

So a=hackChart(1) will return the data from the first series on the chart. You could run this macro (with some modification) directly from Excel and return the values into an Excel range. Let me know if you need help doing that.

Function hackChart(iSeries) As Variant()
Dim ch As Chart
Dim sh As Shape
Dim ss As Series

'set shape to selected object 
Set sh = ActiveWindow.Selection.ShapeRange(1)
If sh.HasChart = False Then
MsgBox ("This shape does not have a chart")
Exit Function
End If
Set ch = sh.Chart
Set ss = ch.SeriesCollection(iSeries)
hackChart = ss.Values

End Function

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Hope this helps

Any chance you could mark this as the solution to your question?