I don’t believe so, Ed. Castrate resistant refers to a prostate cancer that is no longer sensitive (ie- does not respond) to the effects of ADT. Therefore, it has evolved to a type which cannot be controlled by simply starving it of T. It continues to grow, nonetheless.
Of course, drastically lowering T will alter sexual function dramatically as well; but ‘chemical castration’ in the sense you are thinking about it, is used more in the legal sense of a rapist or child molester being administered T lowering meds in order to curb their sexual urges. Sometimes it works and sometimes it doesn’t!
Phil