TDSB vs PDSB summer school

I want to take double summer school, but my guidance counselor said PDSB doesn’t offer that. So, I was thinking of taking Physics through PDSB and then English and Calculus through TDSB.

However, I’m not sure about the registration process or if TDSB even allows double summer school. I’m currently in grade 11 and planning to apply to Mac Health Sci, Life Sci, and Western Med Sci. Would taking courses this way have any impact on my chances?