There was also a fourth installment, The Bourne Legacy (2012), starring Jeremy Renner as a different character, Aaron Cross, but it is considered a spin-off rather than a direct continuation of the original trilogy.
In February 2022, there were reports indicating that Universal Pictures was in early development of a new Bourne film, potentially bringing Matt Damon back to reprise his role. However, details are scarce, and no official announcements or release dates have been provided yet.
It is worth noting that these are just rumors and speculations as of my limited knowledge up to April 2023. The official confirmation or announcement of a fourth Bourne movie with Matt Damon or any other actor will come directly from Universal Pictures or the relevant production team.