Yes. You may all share a DNA segment inherited from the same ancestor. However, you each inherited half of your DNA from each parent. Sharing with any two matches may be through a different parent.

Comparison Andrew Tiptop
Name Matching on Chromosome 12
Match 1 Match 2 Non-Match
Jacob Wiscured
Martin Medoe

For example, Andrew Tiptop has tested his parents, Peter and Martha (Pynee) Tiptop, his maternal 1st cousin Martin Medoe, and his paternal 1st cousin Jacob Wiscured.

On Andrew’s Chromosome Browser page, Andrew shares overlapping segments on chromosome 12 with Jacob and Martin. Though the segments overlap, they are from different ancestors.

 

Comparison Martha Pynee
Name Matching on Chromosome 12
Match 1 Match 2 Non-Match
Andrew Tiptop
Martin Medoe

From Martha’s account, she shares about the same segment with Martin as Andrew.

 

Comparison Peter Tiptop
Name Matching on Chromosome 12
Match 1 Match 2 Non-Match
Andrew Tiptop
Jacob Wiscured

On Peter’s Chromosome Browser page, he shares with Jacob the same segment that Andrew shares with Jacob.

Because Martha is unrelated to Jacob, he is not on her match list. Likewise, Martin is not on Peter’s match list. In addition, Jacob and Martin are not on each other’s match lists.