No. The most important principle of EVE is that someone can always kill you. Only having consensual PVP makes games boring, as it removes risk.

In some areas of space, killing people has consequences, specifically, losing your ship. Which just means that you should fit it for firepower/cost when you go shooting random people in highsec. Various parties have honed this to an art, for example: miniluv (Goonswarm Ministry of Love).

Their handiwork: http://community.eveonline.com/news/dev-blogs/28640

Choice quote: "There’s just something special about building 15,000 spaceships and loading their guns with 1 round of ammo to shoot. And doing it right in front of the police."

Well, that's what I understand from the post I replied. Thanks for correcting me though.

EVE is expressly against such a flag. The only way to avoid PVP combat completely is to stay docked in a station. If you stay in high security space you can make it fairly difficult to attack you though (it'll still happen if your ship value to fragility ratio is high enough though).