Yes. Phenotype is a function of genes. So p = f(g). Obviously, it depends on the function f. If the function was an absolute value, then g = 2 and g = -2 both will give you same phenotype 2.

Back from math and into biology, in many mendelic traits, which are traits where a phenotype depends on a single gene, the receive allele is simply an allele that does not produce a particular product, such as a pigment. Such as blue eyes, which are eyes that lack melanin (the eye colour is not a perfect example, as it turns out it is not exactly mendelian trait, but lets assume for simplicity it is).

Obviously, if a gene is not producing a certain product, a protein that is directly involved in some pathway, it is because it is "damaged" in some way. And there are many way it might be damaged. A protein might be produced, but it is non-functional, shorter, or the protein might not be produced at all. So many different mutations might be responsible for the same trait.

When we look at polygenic traits like height, we will see many different genes that are responsible for a small difference in height. When you plot the population phenotype, you might see a normal distribution. Consequently, assuming the same difference for every gene and 100 genes and an on/off effect of a particular gene, you can get a trait resulting from 50 genes in many way (something like 10^29 combinations).

On top of all this, traits depend on an environment. In the case of height, this is only a potential, you will benefit from your genotype only if you will have plenty of nutrition in your young age to reach this potential.

This difference between genotype and phenotype for polygenic traits, and the effect of an environment, is important when doing a selection in agriculture. Trying to find out how much of the trait is hereditary and how much it is determined by genetics gives you an estimate on how much you can influence the trait by breeding.