I drank a week ago, and have a blood test today, will any alcohol show up in my test?

No. It will all be eliminated or metabolized well before this timel.
Not alcohol. If you drank alcohol one week (7 days) ago there will not be any alcohol in a blood test. However regular drinking, heavy binge drinking with elevate certain liver enzymes. .
Very unlikely. Alcohol is metabolized by your body fairly rapidly - on the order of one mixed drink/beer per two hours. After a week it should be entirely out of your system. Unlike Canabis, there is nothing that lingers.