Ref. No. 810 Alif
In the Name of Allah the Most Gracious the Most Merciful
The answer to your question is as follows:
Removing unwanted hair from the chest and back is permissible for men, although it is undesirable and against proper manner. One should avoid it if there is no need. However, if there is a need, such as the wife dislikes it, then there is nothing wrong in removing the hair of chest.
And Allah knows best
Darul Uloom Waqf Deoband INDIA