Can a potential verb be used with ながら meaning during/while?


The following sentence was from a group chat, and I felt like the usage of ながら
here was a bit odd:

> 歩きながらメッセージを送れない。
>
> I can't send messages while I'm walking.

I felt it was odd as I always assumed that the verb following ながら cannot
describe a state and has to be a dynamic verb. I also thought that perhaps 間
would be preferable here instead of ながら?

Could someone please tell me if my assumption is wrong, and if the sentence is
actually both valid and natural?




The person who said that may have meant to add the sense of potentiality to
the whole act of 歩きながらメッセージを送る. Though it sounds incomplete as an independent
sentence, it doesn’t sound particularly unnatural in a subordinate clause
(provided it is not a quote).

> 歩きながらメッセージを送れないのは当然だ。

> 歩きながらメッセージを送れないことはない。

> 歩きながらメッセージを送れないなら、立ち止まればいい。

As an independent sentence, the following sounds more correct and more
natural.

> 歩きながらメッセージを送ることはできない。

