In Photoshop using Filter > Sketch > Stamp you can create an effect similar to the image below:
Is there any plugin or any way to do this in GIMP?
P.S: in GIMP Color > Desaturate is not helping.
Try the G'MIC plugin for GIMP - it has a Stamp filter. Once you've installed G'MIC and restarted GIMP, find it at Filters > G'MIC > expand the Black and White filters, the Stamp filter is in the list.
It's not exactly the same, but quite close. I suppose you could add another filter first to get a bit more edge defintion before applying the Stamp filter. Anyway, this example is just the plain ordinary Stamp filter from G'MIC.
Here's another attempt where I ran the regular GIMP Cartoon filter a couple of times before applying the G'MIC Stamp filter.
From the experience I've had with GIMP, you can't achieve the same look... However I would suggest that you play around with the contrast. I would also suggest de-saturizing the image first, and then play around with the contrast to see how much or how little you want. You can find it under Colours > Brightness-Contrast. If you put the contrast way up, there's only a small amount of colour which shines through - that's why you should de-saturate first, as well. It'll give you only the shades (graytones), or will turn completely white and black in the end... Hope that helped!