Well, they can accomplish more than that, especially for bystanders not directly involved in the debate. However, it's really easy to demonstrate that quote mines exist. Here's a Christian apologetics site filled with them
Evolution: Fact or Fallacy
Allow me to use some examples of quote mines from this page:
"No matter how numerous they may be, mutations do not produce any kind of evolution" (Pierre-Paul Grasse, evolutionist)
What this quote fails to mention is that this man was not a supporter of Darwinian evolution at all. Rather, he was a supporter of Lamarckian evolution, the idea that acquired changes in organisms during their life can be passed down to their offspring (such as a giraffe stretching its neck to reach leaves, resulting in offspring with longer necks). This was discarded decades ago.
"My attempts to demonstrate evolution by an experiment carried on for more than 40 years have completely failed" (N. H. Nilson, famous botanist and evolutionist)
Another Lamarckian.
"The evolutionist thesis has become more stringently unthinkable than ever before" (Wolfgang Smith, Ph.D.)
The Ph.D is in Math. Most relevant thing about him to evolution was that he was a "philosopher of science", he never was involved in any experiments relevant to evolution.
The uniform, continuous transformation of Hyracotherium into Equus, so dear to the hearts of generations of textbook writers, never happened in nature" (George Simpson, paleontologist and evolutionist)
Out of context, he's referring to the difference between phyletic gradualism (to which he disagrees with) and punctuated equilibrium. These are two different schools of thought related to how quickly evolutionary changes occur, with the former suggesting continuous and slow change, and the latter suggesting periods of relatively fast change intermittent with periods of very minimal change. Most quotes along these lines are quote mines related to punctuated equilibrium.
"Evolution is unprovable. We believe it because the only alternative is special creation, and that is unthinkable" (Sir Arthur Keith, evolutionist)
This man is a known fraud, essentially exiled from the scientific community due to his involvement with Piltdown man. Additionally, there are no verified sources for this quote at all, so it is not only out of context, but it's also complete fiction. Not that it would matter much, Keith died in 1955 so his relevance to evolution is over.