David Leff Clounch - Yes, distant cousins can be found by DNA matching.

Genealogical time is defined as being the time span marked out by genealogical connections between individuals based on records, historical documents, archaeology, and writings about people and events at the time. If a tree can be built connecting dynasties, that tree covers genealogical time. DNA can match cousins over genealogical timeframes. DNA matching is not limited to 1st, 2nd, or 3rd cousins. Genealogical time is not limited to those close relations. But there are those who will tell you it is so limited.

From family tree dna:

https://www.familytreedna.com/learn/faq-items/genealogical-time-frame/

Genealogical Time Frame

The genealogical time frame is the most recent one to fifteen generations. Recent genealogical times are the last one to five generations.

So if a cousin and I have an MRCA 15 generations ago, we may be 30 generations apart, and be 30th cousins, for example, and only share 10 cM of FNA on one chromosome. But that connection has more confidence than if there is no shared DNA.
It is also a matter of probability.

That, BTW, is not any sort of proof - rather it is an assertion. Almost everything in geni is an assertion.

In Evidence Explained there is no mention of Genealogical time frame that I have yet found. It is not a standard of proof.

Evidence Explained does say genealogical proof is more stringent than scientific proof because one error can affects many generations and millions of people.