The meaning of 手が出せない


Take for example the sentence below

> ケンカができたとしても俺には手が出せない。

Does this mean something like "Even if we did get into a fight, they wouldn't
be able to touch me/lay a hand on me(i.e. they would be no match for me)"?

A few more lines for context:

> 美桜とは付き合いが長いのに、一度もケンカや口論をしたことがない。
>
> むしろこの性格でどうやったらケンカができるのか、誰かに訊いてみたいぐらいだ。
>
> もっとも、 **ケンカができたとしても俺には手が出せない。**
>
> 曲がりなりにも女性だからというのもあるが、それができない訳ありな事情もあったりする。  
>  (Explained later on that she has androphobia and she cries if she comes
> into physical contact with a male)




手{て}を出{だ}す literally means 'to put one's hand out; to touch'. So, it can
metaphorically means 'to throw the first punch', 'to try something out', and
'to flirt on'.

Without the context, the sentence in question could be interpreted in two
ways:

> ケンカができたとしても俺{おれ}には手{て}が出{だ}せない。
>
>   1. Nobody can touch me even if they get into a fight with me.
>
>   2. I cannot hit someone even if I could have a fight with that person.
>
>

In the context you wrote above, the sentence means #2: 'I cannot hit her even
I could have a fight with.' There are some reasons in addition to that
美桜{みお?みう?} is a lady.

