Yes. Being cis is when your socially constructed gender identity aligns with your socially constructed assigned gender at birth. Being cis is a coincidence of constructs.

Note that someone could have XX chromosomes and be cis, and identify as a man, thanks to SRY gene crossover. He has XX chromosomes, but he was born with a penis, so society called him a man and he happened to agree. So having XX chromosomes and being cis definitely isn’t the same as being a woman, even if being cis weren’t a social construct.