Yes, when a Christian sins, he should be specific and particular in his confession.
1Jo 1:9 If we confess our sins, He is faithful and just to forgive us our sins and to cleanse us from all unrighteousness.
Notice that the word "sins" is plural. The condition described in this verse is not a general and wholesale confession of sins but a particular naming and judging of sins.
LEV 5:5 ‘So it shall be when he becomes guilty in one of these, that he shall confess that in which he has sinned.