Technology

Short answer : No

Long answer : Bullet proof is a misnomer, everything, even the air, will eventually stop a bullet. You can get a suit with ballistic fiber which will work against small and slow calibers. Keep in mind that the damage a bullet does is more than just perforating your clothing. Body armor has a rating system telling you what kind of rounds it can mitigate, although most rifle rounds require some sort of rigid plate to prevent penetration and also dissipate the impact over a large surface area. A thin, flexible bullet resistant suit or jacket is not going to do either of those things very well.

You mean the ones that completely negate impact damage? I think those would violate physics.

You are supposed to be able to get flexible bulletproof armor that isn't made of Kevlar but some kind of non-Newtonian gel, but I don't know how good it is.