The answer is to some extent and it depends. One of the biggest problems is that we still don't know how everything works in sufficient detail.
Firstly I assume we are talking about genetically manipulating a sperm and or egg and allowing them to combine and grow naturally rather than attempting to change the genes in all the cells of an adult human (as this would be even more challenging).
An important point to realise is that DNA is not like a blue print for a human body, with one gene specifying one body part or feature and another specifying a different part. Although many genes can be very specific, many more have very wide spread effects. A better analogy would be to think of DNA as a recipe rather than a blue print. Because of this it can be difficult in some cases to predict exactly what will happen if a gene is changed, especially if the change is large and the genes introduced are very alien to the species.
Another important point is that genes are often repurposed. So a gene found in one species might be used for a completely different purpose in a different species if it’s in a different setting. In addition it is not always obvious which genes or groups of genes are responsible for which features anyway.
So it might be possible to some extent, but it’s going to need a large amount of very unethical trial and error. You would not usually expect to be able to pluck a desired feature / gene from one species and insert it into a human and hope to get exactly the same feature.