changing the plot in GUI manually -

I have a GUI that plots a curve, and using a peak finder function it finds all the local minima and maxima in the plot and plots X in those points in the graph.
is it possible for the user to change the location of the X points manually using the mouse cursor on the figure?
How can I erase or add manually (not in the code) Xes in the plot in the maxima and minima?
can I somehow drag an X that was plotted, if I see it should be a little to the left i.e...?

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