Did a little research in the game and I have a theory as to why Static from Static Shock isn't in the game
In 2010 DC did the whole Milestone thing and published up a bunch of comics from the Milestone comics line. I know Static has made appearances since then including some New 52 and such but since Static, Icon, Rocket and the rest of Milestone's characters are ALSO absent it may mean that while DC has the rights to the characters that WB didn't get the digital rights to Milestone properties along with the DC properties.
Im super vague here, but its a theory that might hold up since not a single Milestone character no matter how utilized by DC made it into the game even though DC owns the Milestone universe and merged it in. Heck Icon and Rocket were even in Young Justice.
Sorry folks, but no in game Static. However, there is already a really good one on the workshop on Steam and with the powersets in this game you can easily use whoever has the powers you need as a base and make them look like any incarnation of Static you wish. This game has waaaaaaaaaaaaay more parts fit for hero building than Unlimited since so many heroes borrow visual themes from each other.