Techniquement, c'est du français, rien à dire. Mais c'est vachement moche tellement c'est trop mal dit ! Et des parties DE corps, pas du corps, parce que flagrant délit de faute de grammaire.
@UnnamedPlayer 'parties du corps' is correct just type it in any browser, you'll see.
I don't think your form is correct however, if you don't specify in your sentence what type of body you're referring to, while 'du corps' stands for 'du corps humain'.
I don't know if it's strictly wrong going by the rules, you just wouldn't use 'parties' but more like 'bouts' in your sentence, and then it doesn't have the same meaning as 'parties du corps'. There's no other way to say it.