Yes, but most of those examples in Wikipedia are parent/child or sibling matches, which means the two share about 50% of their DNA (25% for half-siblings or uncle-nephew, grandparent, etc.).
The percent drops rapidly from there. First cousins -12.5%… At a certain level, the match won’t be noticeable unless you do a more in depth test. IANA DNA expert, I couldn’t tell you how sensitive the database data would be versus the risk of false positives.
the ability to match, as I understand it, gets better if you have two specific samples and do more in depth tests. For example, close comparison of the Y chromosome of Jefferson’s and Hennings’ male-line descendants showed some were related - but does not answer whether the culprit was Thomas Jefferson, his brother, or his father or uncle(?). Some descendants also were not - but is that because there aren’t, or because somewhere intermediate the paternity was not as advertised?
Some people don’t want to answer these questions. the degree to which “pedigree errors” occur in human lineage is a much-debated topic.