Yes.

> evolution selects at multiple levels

That's just another way of saying that evolution selects for reproductive fitness with respect to a particular environment. If a gene is part of an organism, then the other genes in that organism are part of that gene's environment.

The aggregation of genes into organisms is itself an evolutionary adaptation (as is the aggregation of organisms into more complex organisms like eukaryotic cells and multi-cellular creatures). This aggregation provides reproductive fitness by enforcing a certain level of cooperation among the aggregated genes (see https://en.wikipedia.org/wiki/The_Evolution_of_Cooperation). But this is not the fundamental mechanism of evolution, and every now an then a gene "defects" and does what is best for it at the time. Cancer is an example of this.