Yes, you can fine-tune your GPS route in the new RouteGadget.
This video shows how. Skip to about 1:30 for an example.
Note that after you upload your .gpx file, a green point is draggable (single-click), and a red point is locked (double-click). To tweak point "A" on your track, lock points on either side of it, then drag point "A" to its new location.
Skip to 3:50 for a tip on left-click vs. right-click. (Left-click moves the track only, right-click moves track & map).
The RG2 project page has links to a User Guide and other video examples.