Is it possible to have a soul trap spell cast on yourself, so anything you kill, is successfully loaded into a soul gem?

I have this War Terror class, that is nothing but the fiercest and most dominant battle combatant. He was kidnapped off the field of a tremendous victory. The people that take him are these lesser, wretched deviants, that can not succeed the glory of their own battles. They take the crippled diseased and noxious, as gladiators to their own spoiled pleasure. He was taken, to their own tragedy, by mistake, a misfit abduction.

So he heaves himself out of the dungeon pit they carelessly have him unguarded in. He Takes his way through the stonework tunnels and up a flight of tower steps. Once outside on the battlements he sees the wretches spewing with their false glory, as the menaced have been put to odds against each other. He despises their taking of the War Terror's true glory!

His blood starts to surge and he makes his way to the unattentive wall guards, he then snaps his neck, throwing him over the side of the wall. Then he heaves the spear across the stretches of thew all and takes the other one clean over as well. He is staring down at the mass of putrid existence. Defilers he says. His blood surges through his body, and his eyes bulge, barely containing his life source within.

Terror Form - when the blood of the War Terror heaves too much for the warrior to contain his own existence, he has to cleave the lives of others, making room in this world for his own, life source, his Terror Form, consuming their lives and claiming his Glory.

so ... like... yeah...

is there a possible way to get a Soul Trap, constant effect?

No, the effect has to be on the victim. The best you can do is enchant your weapon with the soul trapping effect. On strike for automatic, on touch/target for manual cast.

You'd get more charges out of a cast on strike weapon. Having a constant effect would be a total waste. There are a couple of soultrap on strike weapons in the game; if you can raid a closet in Balmora, you can get one easily.

Well, four, if you count the one that is a possible quest reward and one owned by a legion npc. One is a two handed axe [Balmora], one a spear [Ald-ruhn], the quest reward is a dagger, and the npc that you'd have to kill to get it, an iron claymore.