Yes, generally speaking, every species has a characteristic number of chromosomes, known as its karyotype. This number is relatively stable within a species, although there can be some variations due to:

* Chromosomal abnormalities: Individuals within a species can occasionally have extra, missing, or rearranged chromosomes.

* Polyploidy: Some species, particularly plants, can have multiple sets of chromosomes.

However, the number of chromosomes doesn't directly reflect the complexity of an organism. For example, humans have 46 chromosomes, while some plants have hundreds.

Here are some examples:

* Humans: 46 chromosomes (23 pairs)

* Fruit flies: 8 chromosomes (4 pairs)

* Dogs: 78 chromosomes (39 pairs)

* Rice: 24 chromosomes (12 pairs)

It's important to note that the number of chromosomes is just one factor contributing to an organism's characteristics. The arrangement and structure of genes on the chromosomes are also crucial.