Everyone is saying no, however this can be done if you do it right.

You’ll have to support that joist from below with a few 2x4’s before you do anything, having one on a bottle jack would also likely be a good idea.

What you need to do here is cut the offending joist to the desired location and add in a doubled up 2x6 (or 2x8 whatever matches the current joists) spanning the gap between both adjoining joists to act as a header.

In this case you’ll need to use joist hangers on the end of the cut joist and the ends of the new header beam. Probably easier to see a picture so it’ll look pretty similar to the photos in this link.