Brms: multivariate response, different distributions

A model could look a follows:

bform <- bf(survival ~ ..., family = bernoulli()) +
  bf(offspring | trunc(<value>) ~ ..., family = poisson())

fit <- brm(bform, ...)

However, without correlated multilevel structure on the right-hand side of the model formulas, this model will just be equivalent to two univariate ones.