Is this application realistic?

For Cambridge your GCSEs would be below average, but a good personal statement (and interview if you get there) maybe able to get you in
I definitely think you can write a personal statement that caters for politics and law
In 2023, HSPS was more competitive than Law - with there being two more applicants for every space but of course admissions statistics shouldn't be your entire reason why you go with either course
The question you should ask yourself is why would you want HSPS over Law? You don't want to be wishing you were doing something else the whole time you're at Cambridge
Look at the course structures and see what you would prefer

I’m considering applying to Cambridge to study law and my GCSEs are 876554, but I have extenuating circumstances to explain why I got the grades I did. Would they still be considered weak? I’ve read that Cambridge do consider your GCSEs but I’m not sure whether you could be rejected solely because of them. Do you know anything more about this?
For reference, I’m predicted A*AA in politics, philosophy and psychology and may be able to raise my predicted grade in philosophy up to an A* in September. I’m also starting my EPQ this year and will likely be predicted an A/A* in it. In my most recent practice test I scored 31 on the LNAT MCQ section and feel confident in my ability to write a strong essay. I also have quite a strong personal statement, but I’m still making drafts (currently on my third). Taking all this into account, would my GCSEs be make or break for my application?

I saw your post elsewhere but definitely apply - you had major extenuating circumstances and it won't be held against you 😭😭
also where did you get a scholarship from damn

Haha thank you! I've been on a little bit of a Cambridge deep dive the last few days (might be spiralling slightly but that's debatable). I likely will apply I'm just waiting on personal statement feedback from my careers advisor to make sure my application is going well. I got my scholarship from a silver circle firm, but they partner with five schools in London and recruit internally. I was lucky enough to be one of the final five selected, but there are lots of other law firms that offer scholarships for sixth form and college students - CMS being one of the more notable ones!

if you don’t mind, could you explain the process of how you got the scholarship? does it have certain requirements such as you have to get a certain A level grade?

There were no A level requirements as they partner with certain schools and recruit through them. I was interviewed internally and got through to the next stage, which was going to actually see the firm, along with others in my school and people from other partner schools. They then opened applications and anyone who applied was automatically given an interview. After the interview, they selected a few people to go to an assessment centre and made the final decision based off of overall performance in the assessment centre, interview and quality of the application. Most law firms that run similar scholarship schemes will use methods like this but depending on the firm, they may have A level requirements or require you to do extra things in your application (e.g. taking tests like the Watson Glaser, writing essays).