Yes.
What population? Perhaps you mean if there were no variation for natural selection to select from.
Natural selection acts on variation by picking out from a population's gene pool those that are more fit to survive. More variation leads to more natural selection. For example, currently endangered cheetas are found out to have less genetic variation than other animals. As a result, if a disatrouous event occured, there are no genes that could help the cheetas survived. Thus, natural selection prevent the cheetas from reproducing as a population and they become extinct.
Genetic variation in itself does not 'support' natural selection: it is what natural selection acts upon.
There must be genetic variation, the variation must be heritable, and there must be differential reproduction (due to competition).
when there is competition
No, natural selection works on that genetic variation presented to it.
no there is no genetic variation for natural selection to act upon
No, there is no genetic variation upon which natural selection can operate.
Natural selection does work on preexisting variations in a population. This is how the population was shaped to be the way that they currently are or were.
What population? Perhaps you mean if there were no variation for natural selection to select from.
genetic variation
Genetic Variation is a measure of the genetic differences there are within populations or species. For example, a population with many different alleles at a locus may be said to have a lot of genetic variation at that locus. Genetic variation is essential for natural selection to operate since natural selection can only increase or decrease frequency of alleles already in the population
No. Natural selection requires reproductive variation to work on. Besides reproductive variation and natural selection, there are various forces, biochemical as well as population dynamical, that affect the allelic composition of a population.
Natural selection can only work on genetic variation that already exists. So mutation comes first, then natural selection.
Without variation there is nothing to select from.
Natural selection acts on variation by picking out from a population's gene pool those that are more fit to survive. More variation leads to more natural selection. For example, currently endangered cheetas are found out to have less genetic variation than other animals. As a result, if a disatrouous event occured, there are no genes that could help the cheetas survived. Thus, natural selection prevent the cheetas from reproducing as a population and they become extinct.
Genetic variation in itself does not 'support' natural selection: it is what natural selection acts upon.