Vanadium 50 said:
Since nobody has seen a free gluon, the answer to your question as posed is no.
If you had a different question in mind, you should ask it.
I think this proves too much. By that reasoning, no one has ever observed an up, down, strange, charm, or bottom quark, since there is likewise no evidence of free quarks that are not top quarks (in each case using the term quark to include antiquarks in this sentence).
But, of course, in a reasonable interpretation of what "observed" means in this context, we have seen, for example, experimental evidence of photoproduction of some quark-antiquark pairs (e.g.
here), a process which is simply the inverse of quark-antiquark annihilation, which is one of the first things taught in quantum mechanics.
There are all sorts of particles in high energy physics that one only observes indirectly, for example, through their decay products, after statistically removing known background "noise" from other know processes, for example. But we still "observe" those particles.
"Observed" does not literally mean "see" with your technologically enhanced eyes, in this context. Instead, it means that there is strong experimental evidence that it has occurred (five sigma is a bit arbitrary, but the usual standard for such things, however, if there were 3 or 4 sigma experimental evidence for the existence of such a process that would be worth mentioning too). Observe is in contrast to merely theoretically predicting that something exists without experimentally evidence supporting its existence, like the Higgs boson at 125 GeV pre-2012.
The question is whether there is strong experimental evidence supporting the existence of the process or not.