Probably not, because research skills are a pretty big part of psychology, so are likely to be core modules in most of the joint degrees.
I am awful at maths, I barely passed at GCSE, but honestly, the maths part of psychology is one of my favourites. It's just a lot of remembering formulas, and pretty basic maths like mean, median, mode. We also use SPSS to do a lot of the standardised tests/stats