No, if your character is not at apprentice level you cannot cast it.
You could buy a soul trap scroll and cast it.
But the better solution, I think, is to just self train mysticism until you can cast the soul trap spell. You can buy a minor detect life spell (or minor dispel) from Edgar Vautrine at Edgar's Discount Spells in the Imperial City (you can buy them other places too) and then just cast the spell over and over until you get to Apprentice level. Then you can cast the lowest level Soul Trap spell. It doesn't take that long to go from Novice to Apprentice with Mysticism. And the Detect Life spell is also useful.