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.
Maybe Filters > Edge-detect > Difference of Gaussians... could give a similar effect. Maybe with some added Filters > Noise. There are probably better ways to do this. Didn't have time to investigate further though. G'Mic filter addon surely has something for this too.
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.
This is the best I could get using GIMP (without any plugin):
First I applied Filter > Artistic > Photocopy, then applied contrast-brightness two times...
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!
Use Gimp's "photocopy" filter, and move all the sliders completely to the right. That is as close as you are going to get to the Photoshop "stamp" filter.