grammar - Correct translation of こともない in this sentence

Just before the quoted passage, the narrator says a whistling going "Don!" happens at the same time as he stumbles and ends up stooped. Then:

もちろん、いくら昔の話でも発車のベルは「ドン！」などとは鳴らないし、発車のベルが人を突き飛ばすこともない。

My attempted translation:

Of course, though this happened a long time ago, it couldn't be possible that the bell would go “Don!” and send someone flying.

Here I assume こともない means "it's not possible/the case that..." Is this correct?

Answer

「～こともない」 is made of 「～ことはない」(don't ever~~) + 「も」(either).
「～ことはない」 is the negation of 「～ことがある」(occasionally do~~).

Compare:
ベルが人を突き飛ばすことがある。-- The bell occasionally/sometimes pushes people away.
ベルが人を突き飛ばすことはない。-- The bell wouldn't ever push people away.
ベルが人を突き飛ばすこともない。-- The bell wouldn't ever push people away, either. / Nor would it ever push people away.

「ドン！」などとは鳴らないし、発車のベルが人を突き飛ばすこともない。

「～～ないし、～～もない」 means "neither ~~ nor ~~".

"The bell would never go 'bump!', nor would it ever push people away."