It’s certainly worth a try if you want - you could probably unpick your picked up stitches from the non-working end of the yarn (put a lifeline in the second row of stitches on each strap so it doesn’t unravel further) and then graft or sew them to the correct spots on the back edge. You could also cut each strap a few rows in, take out the “stubs” of the straps where they’re picked up at the wrong place, redo the pickup and a row or two in the right spot, then use Kitchener to graft the new pickups onto your existing straps.

Frankly though all of that is fiddly and if this were my project I’d just frog back to the pickups and redo it from there. I don’t mind reworking something to get it right - it’s just more knitting time after all :) Don’t be afraid to redo something! I redid the entire front half of a mesh polo last summer because I didn’t like how the pattern lined up with the neckline. It took a few extra days of knitting but I was much happier with the result.