Yeah, no. I disagree with the above posters.
It’s not impossible, yes, but UCL successful applicants on average have higher LNAT scores than those who are successful at KCL, so if you got rejected from KCL for your LNAT…
I would say it is unlikely, but then again UCL’s Philosophy, Politics and Law may be less popular than their normal law course. For that I don’t know, but for Law, if you’re getting rejected from KCL, more than likely you will from UCL too.