i can not say for all games. But from the couple of EA games i have played yes. After that verifications (a lot of cracked apps don't even have it) and the intial download. You can play without internet access
EA has experimented on and off with various 'online required' strategies over the years. The most famous debacle was around Sim City recently. It really depends on the game and studio within EA. There is no single company-wide technology or policy at this time.