No, in each case. There are a few disciplines where it may seem that evolution plays a role. In medical research, animals are used in drug tests and to understand how organs function, and are sometimes used for spare parts. It might be said that the common responses or common functions are due to common ancestry.
But no, not really. Creationists admit, even insist, that all of life is governed by a similar genetic code. And especially all mammals have quite similar body functions. The fact that they do is evidence for a common designer rather than for a common ancestor. Besides, the animal selected for a certain test is chosen for a particular feature, such as the chemistry of its blood haemoglobin being most similar to humans.
No evolutionary relationship or application can rightly be claimed.Thus the animals chosen, whether rats or rabbits, are not selected for closeness to humans on the evolutionary tree, but for a particular similarity. And even when one close similarity is found, other factors are quite dissimilar. No evolutionary relationship or application can rightly be claimed.
Another possible application comes to mind, that of oil exploration. Palaeontologists sometimes study microfossils in down-hole cuttings or cores to correlate beds or discern the direction to the ancient shoreline. These data are couched in evolutionary, old-earth language. But is that necessary?
Not at all. Oil exploration consists primarily of the search for a particular underground geometry where oil might be trapped in the rocks. 'Oil is where you find it', as they say. The age of the rocks or the source of the oil is not of importance.
Without doubt, beds can be correlated by studying microfossils, but this has nothing to do with age or evolutionary ideas. Certain spatial patterns have been noted, but they fit just as well, if not better, into a catastrophic Flood framework as they do into a uniformitarian (evolutionary) concept.
When I was finishing my Ph.D. work, having developed a real love for petroleum exploration, I approached the research branch of a major oil company with a proposal. Pointing out that an exploration program based on old-earth/uniformitarian concepts doesn't work very well (only about one exploration well in 50 produces enough oil to pay for itself), I proposed that this company establish a team of young-earth creationist/catastrophists to see if a better exploration program could be developed.
To fund a research team of five or so creationist geologists for several years would cost about the same as one dry hole. Certainly we couldn't do any worse.
Unfortunately, my proposal was not accepted (maybe this was good, for I took a university faculty position and eventually ended up at ICR). I still don't know for sure if a Flood-geology approach would work better, but I think it could. At least it wouldn't be based on a wrong premise.
Other areas could be discussed, but the point is, no real good will come from a denial of truth. As creation is true, and the Flood really happened, then each related discipline must be founded on them to be truly successful. Denying truth dooms one to failure.