Yes it's possible. It comes down to Google's algorithm deciding what other terms most people are likely to search. Since the algorithm is pretty basic, it's easy to manipulate, you need to have REAL people search and click for positive terms after searching your initial result.
For example...
Keyword: John Smith
Related: John Smith scam
You would want to hire people to search John Smith, click a link. Then search John Smith biography and click a positive biography. That would tell the algorithm that people searching for John Smith also searched John Smith biography.
If you do that enough the suggested searches and "searches related to" will both be influenced.
I've found that hiring real people and local people does the trick while hiring overseas, bots, or trying to fake it doesn't work. That's my experience with both of those.