Good luck. As to college level calculus, you should be OK for exam 2 without it, and it’s fine to take exam 2 before exam 1. They’re unrelated.
Before exam 1? You’ll definitely need to understand the meaning of derivatives and integrals, but the calculations of them are usually not bad. I.e., you might need the derivative of x^3, but the challenge will be knowing that you even want a derivative and then deciding that x^3 is the function you need to differentiate. Or you might need the integral of x^4 from 3 to 5, where the hardest part it not evaluating the integral, but perhaps knowing you even want an integral, and that if you do you are integrating x^4, and that the limits you need are 3 and 5.
Some people come out of high school these days knowing enough calculus for P. We don’t know your background. P is a probability exam, you just need some calculus to understand and solve probability enough.
There are sample questions for both P (1) and FM (2) on the SOA website. You’ll see some calculus in the 1 sample. Maybe some in 2 sample, but not as much. You could certainly pass FM if you got every question that needed calculus (if you got any on your exam) wrong.