It is. Body dysmorphia or body dysphoria. Feeling like your body isn't properly "your body", and needs adjustment in some extreme way, usually the removal (though sometimes the addition) of limbs. It can also apply to organs, though, in particularly odd cases.

And the most common case (and I'll include sex organ dysphoria even when I say "most common") would be pregnancy-related dysmorphias. Women who want to be pregnant when they are not. Women who believe they are not pregnant when they are. And of course, certain forms of post-partum depression, the dissatisfaction with the situation of having given birth, their body does not feel right to them anymore.

Body dysphoria or dysmorphia when it concerns sexual organs needing to be added or removed is instead usually called gender disphoria, even though the two aren't ENTIRELY the same thing, there's enough overlap. And like many disorders, it tends to come alongside other disorders, like depression, leading to that tragic suicide rate. The vast, VAST majority of disphorias cure themselves naturally over time, though. The high suicide rate statistic is only for people who are actively treated for it with our current highly lacking procedures, not for the ones who recover naturally, whose suicide rate is more or less just the general population's.