Maybe yes, maybe no. When there's an error, you should assume that, if it's obvious (to the defendant) that it's a mistake, and if it's obvious what the correction is, then the judge will permit the amendment. If you are genuinely disadvantaged by the error, in preparing your defence, then there's a chance it would/might be tossed. There's no fixed rule - It's up to the judge, whether to permit amendment.
Timing might be important. If the error is discovered early on, before trial, it's more likely that it'll be correctable. If the situation genuinely is that you only discover the error at trial, and you've been preparing your alibi for the wrong date or something like that, and the judge doesn't think you're just pretending or bullshitting, you might be ok.
Of course, it's up to the police and prosecution to do their job properly, and some judges are less tolerant of such mistakes than others.
But if it's a simply a mistake over the number plate, and you know perfectly well what it should be, you're toast.
Seek legal advice, obviously. Maybe a paralegal can get it reduced to a lesser offence, for $500. Probably not, but it's crazy not to try.
Better still, of course - don't drink and drive. (As if you need that advice, right now.)