the only spider i could see beat kurapika would be kururo, thanks to his incredible amount of techniques, his panel is huge, combined with his brillant mind, he has the tools potentially to deal with kurapika's hatsu. And even for him it would be very risky to take him on one on one.
But imo, all the other spiders have no chance to beat him, if it's a one on one.
Whiie gon and kirua were training, considerably raising their basics stats (ken, ryu, aop, pop, etc) , kurapika has certainly also improved those areas, reducing the initial gap in basics aura abilities wtih the spiders, yet even without this supposed improvement, kurapika was able to handle ubo in close combat (asking him to be serious and stop wasting his time)
Moreover, kurapika first goal when fighting a spider is to capture them with his chain jail (he did it with ubo, then kururo). He even explained his pattern to ubo, "once captured, finish them with bare hands". So, there's few chances that feitan would even receive considerable damages before being caught (and that's the fuel, the condition of his "raising sun").
Then, kurapika has developed an healing ability, wich allows him to recover from pretty much any non lethal blow he could suffer in fight against a spider.(this one isn't maybe even limited to the spiders)
Add to that, that feitan contrary to ubo hasn't even maybe enough strength to escape from others chains, or would have difficulties to do so.
(Yet to finish kurapika he has to apporach, him, raising the odds to be caught, especially since "in" can be used wtih them, making them invisible)
It's true that we don't know all the apects of feitan's hatsu, but i hardly see him beat kurapika in a "fair" fight, kurapika is an elite hunter, who can be labeled as a gifted one, maybe a genius, whom only purpose, and half his hatsu, are pretty much dedicated to erase the genei ryodan. Too much to handle for feitan imo.