自信 and 誇り: confidence and pride
Distinguish belief in one's ability from pride in something valued through common sentence patterns.
Belief in ability
自信, read じしん, is confidence in one's ability or judgment. 日本語で説明する自信があります。 expresses confidence in explaining something in Japanese.
自信がありません。 says that confidence is lacking. A lack of confidence does not itself prove a lack of actual ability.
Something valued with pride
誇り, read ほこり, means pride. 自分の仕事に誇りを持っています。 expresses pride in one's work.
この作品は私の誇りです。 describes this work as the speaker's pride. It expresses the value placed on the work rather than predicting whether the person can create it well.
Two feelings can coexist
技術にはまだ自信がありませんが、この仕事に誇りを持っています。 says that the person still lacks confidence in their skills but takes pride in this work.
自信を失う means to lose confidence. When comparing it with 誇りを持つ, first identify what the feeling concerns rather than treating the words as different strengths of one emotion.
Can someone lack confidence in their skills while taking pride in their work?
Show the answer and why
Yes. 自信 concerns belief in ability or judgment, while 誇り concerns taking pride in something. Both evaluations can hold at once.