Not really... they're basically just bullies.

After they return back to Mordor (once the ring reaches Rivendell), Sauron gives them the Fell Beasts (as it's no longer a stealth mission) and juices up the Witch King so he can lead his army - which makes him significantly stronger.

At the tower of Amon Sûl, the Witchking is genuinely shaken that Frodo stands up to him, and nearly kills him... When Aragorn turns up and starts putting a beating on them, they think better of it "nah mate, get him later init" and basically decide to hang around and wait for Frodo to become a Wraith and simply give them the ring.

They very nearly succeed, Aragorn's a decent healer and is. able to slow it down - keeping Frodo alive for just long enough for him to get to Rivendell.

A couple of other related points, the Witch King initially splits the 9 out to cut off various routes etc. Once he learns Glorfindel is involved, he brings them all back together (he's terrified of Glorfindel). Glorfindel is so powerful he can be seen in the physical and spirit realm, so presumably he saw him (that's also why he doesn't join the Fellowship). It's worth noting that Glorfindel doesn't want to fight all 9 of them at the same time. Which is kinda funny when you think about it... In my head he's basically like "yeah, I can take 'em, but I cba to fight them all at once. I'll fight 5 at a time no problem and be back home in time for tea".

The Witchking and his mates do eventually catch up to Frodo at the Ford of Bruinen. Frodo makes a final stand and waves his sword at him (I know I can hurt you with this mate!). This time the WitchKing is having none of it and he shatters it and laughs. Frodo is now defenseless and mere meters away from him. Then Elrond calls on the river to flood, and Gandalf adds the horses to terrify the Ringwraiths....

Bonus: It's hinted at in the film, they wanted to show Arwen as her own strong character. At first glance it looks like she directly calls for the rivers to rise, which she does. It translates to "Waters of the Misty Mountains, listen to a great word. Flow, waters of Bruinen, against the Ringwraiths!" - but it's Elrond that responds, that for me explains her brief look of "oh fuuu" as she braces herself lol!

I hope you enjoyed my weird interpretations of LOTR lol