The answer to this question is very much no. Genomes are of arbitrary length and structural organisation (i.e. ploidy), so there isn't a fixed number of 'slots' that different base-pairs could inhabit (like e.g. rolling a dice). As a consequence (and as jamesfq mentioned in the comments), no matter what genome you have, you can always add additional levels of complexity. Take for example the human genome which is approximately 3.1bn base pairs long; you could reconfigure it by adding or removing a base-pair (also known as indels) indefinitely.

That's not even considering the total number of combinations of base pairs at each position in the human genome, which is 4^3.2^9, which is so astronomically large that it's not even worth entertaining that all those combinations could have occurred in nature.

The answer to this question is very much no. Genomes are of arbitrary length and structural organisation (i.e. ploidy), so there isn't a fixed number of 'slots' that different base-pairs could inhabit (like e.g. rolling a dice). As a consequence (and as jamesfq mentioned in the comments), no matter what genome you have, you can always add additional levels of complexity. Take for example the human genome which is approximately 3.1bn base pairs long; you could reconfigure it by adding or removing a base-pair (also known as indels) indefinitely.

That's not even considering the total number of combinations of base pairs at each position in the human genome, which is 4^(3.2e9), which is so astronomically large that it's not even worth entertaining that all those combinations could have occurred in nature.