As this is a past tense so "came voices" should be used.
一时之间什么也没有发生,然后,大家大喊的声音响了起来.
This is a very unusual passive voice,in a passive voice,the subject receives the actions of the verb.In the case you provided,you can also say " then they all came shouting together."
We say the bus is coming; we also say here comes the bus.It is the similar situation.