Most factions don't have strict skill requirements, just recommendations at best. You can contact one of their recruiters, but I doubt they'd decline you on the basis of skills. I do recall seeing a document posted in their document library detailing recommended skills for different positions of theirs, but an Imperial would probably have to help you locate it.
With the ability for new characters being able to reset their skills before they reach level three, I believe it was deemed unnecessary to have that document visible to the public. Once a new character joins the Galactic Empire, they can then get access to that document.
Bureau Chief Dratt Darkstar
Chief of the Bureau of Analysis
Deputy Director - Imperial Centre for Recruitment