Is there any biological evidence that is not suggestive of or seems to disprove evolution?
Evolution is a broad field of knowledge. There are definitely a few elements of our current theory of evolution that does not perfectly match observations. However, those concern small details and might not of much interest to you. Here are a few examples


We don't know the relative importance of background selection and selective sweep at explaining genome-wide variation in genetic diversity.
We don't really have much of an idea what fraction of speciation happen in sympatry.
We don't understand well how recombination rate evolves to differ in different genders.
We don't really understand what are the limits and/or costs of phenotypic plasticity that makes phenotypic plasticity less frequent that we would otherwise expect.
We don't really understand the patterns of genetic diversity on sexual chromosomes at the intersection with the pseudo-autosomal region (PAR).
We don't fully understand how much expansion load (a type of mutation load caused by the sampling of individuals at the expansion edge of a population) there is in human population.
We don't really know whether the mitochondrion (and other double membranes organelles) was first a endo-parasite or a endo-symbiont. 


If you are asking whether there are evidences suggesting that evolution is not happening or that humans and chimpanzee do not actually share a common ancestor but were created independently, then no, there is no such evidence.

You should have a look at the related post Is Evolution a fact?