Q:

Does a 不会拍照的男友 not want to be photographed or not want to take photographs? 

I was looking at this article which has the title:

从前我有一个不会拍照的男友，后来他走的很安详…
Cóngqián wǒ yǒu yīgè bùhuì pāizhào de nányǒu, hòulái tā zǒu de hěn ānxiáng…

I'm interested in breaking down 一个不会拍照的男友:

一个 (yīgè) = one
不会 (bùhuì) = will not 
拍照 (pāizhào) = to take a picture
男友 (nányǒu) seems to be short for 男朋友 (nánpéngyǒu) = boyfriend

So, the person writing the article had a boyfriend who will not "take a picture".   I don't know if this means:

the boyfriend refuses to be photographed, or
the boyfriend refuses to take photographs. 

Question: Does a 不会拍照的男友 not want to be photographed or not want to take photographs? 

A:

会 means 能，善于, 'able to'.  
不会: 不善于，不能，unable to
不会拍照的男友 means the boyfriend who does not know how to take photographs. 