Not even close. We don't yet have a computational model that accurately reproduces all the properties of water, the solvent where most life of interest occurs. And, if and when we have one, and are able to develop accurate models for the myriad proteins involved (an even worse problem,) and we're able to develop accurate models for all their interactions (O(huge)), and so forth, the computational cost to simulate systems that would be relevant at the scale of a whole organism would be... jaw-dropping.
Thanks for your answer, but reproducing an organism down to the cell force fields is not my point.
My point is that animal models are extremely imperfect, otherwise we would not spend billions on clinical trials.
On the other hand, now there are many software that are used in medicine to predict the behavior of an organ in some circumstances. Whole-body simulations of pharmacokinetics and toxicology have existed for two decades and are now quite accurate.
I feel that we are now on the verge of integrating those many approaches. For instance:
