Polar bodies fertilization
The 2nd polar body contains almost no cytoplasm, so if only this body is fertilized it contains no maternal genes to guide the development and moreover not enough nutrients. So this wouldn't work. "Source" 
Moreover, there wasn't reported even any case of "twin" resulting from the fertilization of 2nd polar body according to this article

There was reported case of twins formed by a mass of fertilized ovum and fertilized (diploid) first polar body. Source

What could happen is that if both polar body and oocyte are fertilized, these two cells merge and form tetraploid embryo. Which is sometimes able to form fetus (sometimes just ends as mola hydatinosa), but definitely not able to produce a viable child in humans.