Are there chromosomes that we inherit that are not recombinated?
As you say people, I will assume you are talking about humans only.

Except for the small pseudo-autosomal regions (PAR1, PAR2), the Y-chromosome and the X-chromosome do not recombine together. This means that if you are a girl, then you have inherited a X chromosome from your father who did not recombine in your father (but might have recombined in your father's mother if that's where this chromosome come from). If you are a boy, then you have inherited a Y chromosome from your father who never recombines.

There is also mitochondrial DNA (mtDNA) that does not recombine but mtDNA is not organized into chromosome.