There is hundreds, if not thousands of players with low skill points.
Granted you won't be able to jump headfirst into 0.0 pvp, but it's surprisingly not that SP intensive.
Just remember to pick a race and stick to it. If you go Amarr, stick to Amarr ships, and concentrate on Lasers as your weapons. Minmatar, Projectiles. Gallante Hybrids. Caldari are a bit more spread between Missiles, Electronic Warfare and Hybrids.
You can also avoid combat as much as you damn please and just train for industry. EVE boasts the best Player controlled economy in any MMO tbh.
But do be warned, you aren't safe from getting shot where ever you go in EVE. That isn't to say there are gankers killing newbies all day long, but some players are prepared to lose their ship if the target looks like it might drop valuable loot.