As all quarks are fermions, just like electrons, would it be possible to use them to image things smaller than can be imaged using electron microscopes through similar means?
(This question may not make any sense, my knowledge is not very in depth I just had this thought during preliminary research)
probably not, here is why.
ADDED IN EDIT: I am assuming you want to probe things with one quark type at a time, as opposed to three at a time (which is done all the time, using protons as the probe).
First of all, it takes HUGE energies to tear quarks apart from one another and keep them apart long enough to form up a beam of them. Furthermore, the process of pulling them apart from each other just creates new quark pairs which will mess things up in your experiment.
Second, electrons and antielectrons are structureless, like quarks, and far easier to create, form beams out of, steer around, and store up for experiments. So you can use electrons to probe quark reactions but doing the opposite is practically impossible and ultimately unenlightening.
The Large Hadron Collider uses quarks.
They just run the quarks in convinient, stable, color-neutral triplets that we all happen to call protons and more generally, hadrons.
And yes, the experiments thereof show a lot of interesting stuff that happens at quark interaction scale.
What we don't do in the usual sense of microscopy is to get a geometrically accurate image that the usual microscope presents. We don't even try - the objects at this scale simply don't have much of a shape. They are fuzzy and fleeting. Once the object interacts once with our quark beam, it's gone so instead of a single object imaged by multiple particles we get a statistical picture of many of these objects.
The fact that quarks are fermions is not decisive - many modern, as well as historical experiments are done with bosons. Aside from the whole optical microscopy, about a centyry ago, a beam of alpha particles helped us understand that both the mass and the positive electrical charge of an atom are concentrated in the nucleus.
