Clean up traced vector object

[somebody]

I followed the instructions here: https://www.youtube.com/watch?v=RAT_pJ0Yf3Q ("Cutting out an object/person and putting it into another image") to create a vector object using the freehand brush tool in trace mode.

The trace isn't perfect and has some flaws (see attached image). Is there a way to clean this up a bit before placing this object into an image?