Can a single call of `rnorm` in R base generate two or more types of random variables?

Question

I was wondering if a single call of rnorm in R base can generate two or more sets of random variables each with different n, different mean, and different sd?

Details

As an example, in the below rnorm call, I'm trying to get rnorm to generate two sets of random variables, each with different n, different mean, and different sd:

rnorm( n = c(5, 3) , mean = c(6, 4) , sd = c(2, 1) )

Since the above attempt doesn't produce the desired result, I tried to Vectorize all the 3 arguments in the rnorm:

rnorm.2 = Vectorize( rnorm(n , mean, sd), "n", "mean", "sd")

And I encounter: Error in rnorm(n, mean, sd) : invalid arguments