Not so that you (or a breathalyser) would notice. All vinegar starts out with an alcohol base which is converted to acetic acid to make vinegar. Some of the flavours of that base are retained, which is why wine vinegar is different from malt vinegar (from ale) or cider vinegar, but there is little if any alcohol left. Most culinary vinegar contains between 5% and 8% acetic acid (which started out as alcohol), so any traces of unconverted alcohol are absolutely minimal. If you are concerned, however, you can use lemon juice instead.