Can we take influence on a System's CC Value

After reading a post on reddit referring to that question and making similar observations by myself i would love to know if it is possible to change the CC value of a system with for example doing missions for the minor factions, delivering supplies for the stations, smuggling, turning over the controlling faction and that kind of stuff.
I am asking this because on reddit a couple of hudson members where confused about a changed CC value before and after expansion.
I can't remember which system it was but i saw an increase from a poor 6CC (i think) to something like 36CC in value.

Fly safe!
 
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