It's 10 meters start, Connor has a gun, and a mix of martial arts, pressure points, superior lifting strength, and high intelligence with precog, information analysis, and analytical prediction.
I know Fencer's got Type 2, but to what degree? Because that starting range is going to let Connor fire his gun (likely multiple times) and all his abilities mean they'll likely be well placed shots that can do some damage to joints if they're not killing thanks to Type 2 (something Connor seems to be smart enough, skilled enough, and has the abilities to adapt to). And that high skill plus abilities to read the situation makes a disarm seem pretty likely.
Plus, Connor's stamina describes his synthetic organs similarly to Type 2 Immortality as well, since he can apparently substain heavy damage to them without giving out.
I don't know either character well, but it seems like Connor has a lot of options, a wider variety of skill, and can take Fencer down pretty easily once he's disarmed due to AP and LS advantage, and his mix of surviveability, skill, and abilities seem to make that realistic.
I think Conner should take this from where I'm seeing it.