Short but useless answers -- Yes, this should be possible and yes, there are multiple charting/graphing applications out there that could do this just as well as Excel.
It's difficult to be very specific with only a picture to work from. What I see in the picture is a line chart or scatter chart (I usually prefer a scatter chart). Perhaps two data series (one for the orange lines and one for the black dashed lines). In the spreadsheet, the data for the orange lines will have a couple of "gaps" and the "hidden and empty cell" setting will be set to "gap". Consider this data set:
A scatter chart based on that data would look similar to your picture.
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