I would. Peppers tend to grow whole bunch of extra shoots from same nodes, so it's a good idea to select just one to grow in desirable direction, removing weaker twiggy ones and ones growing inward towards center of the plant, crossing branches, etc. This is a good chance to pick a good framework of major trunk and branches. Weaker ones may not be able to support the weight of the fruits once laden.
Also, especially with something like jalapeños, you don't want the fruit size to suffer due to the plant trying to support too many.
The arching stem/branch is causing multiple shoots to grow upward, trying to be the leader (highest growing point). Remove upward growing shoots on the arch near the center of the plant -- they will shade the entire plant. Then pick and choose from the others and decide where you want to cut off that long arch. We can discuss some more before committing to major cuts, if you want.
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