if Science Po rejected me, do I still have a chance with LSE

Hi all, this might sound like a dumb question, but I just got rejected from Sciences Po International Relations masters and am hoping to get into LSE for a conflict analysis masters. If the first one rejected me, does that mean LSE probably will as well? Since they are around the same ranking (I think), it's really stressing me out. The fact that they take months to answer isn't helping too!

Not necessarily, although lse has a very high number of applicants per place. What degree did/are you doing and what grade have you achieved?

I'm currently doing a politics and sociology course BA. I didn't have high hopes for sciences po as they did request applicants for this course to have a strong international relations background, but LSE says that my bachelor course doesn't matter. I have 73% at the moment but got an upper 2:1 last year.