No.
When you fear that something will happen, you say ne, like in that sentence.
When you fear that something will NOT happen, you say ut or ne non.
This can feel counterintuitive to an English speaker at first, but there is a logic behind it. When you fear that something will happen, you wish that it will NOT happen, hence the ne. When you fear that something will NOT happen, you wish that it WILL happen, hence the ut or ne non. There is a theory about how these constructions came about. Maybe, in some much earlier stage in the evolution of the language, such statements of fear were actually made up of two separate sentences, like this: Vereor! Ne fiat! = "I'm afraid! May it not happen!"; Vereor! Ut fiat! = "I'm afraid! May it happen!"; Vereor! Ne non fiat! = "I'm afraid! May it not not happen!" And then these gradually came to be felt as single sentences meaning "I'm afraid it will happen" and "I'm afraid it won't happen".