The engine can be rebuilt, but it's probably more than the car is worth.
A quart every 1000 miles is more than average - but not terrible. The old-time cures for high-mile engines that started using oil was to: 1) switch to the next heavier grade of oil, ie if you're using 5-20 now, got to 10-30....really bad in summer, go to 20-50......maybe straight 30 weight oil..............and/or switch spark plugs to a higher/hotter range to help burn-off the oil.
At 1 quart/1000 miles, switching to a heavier grade should let you get many more miles out of your car before it needs: new valve stem seals (not terribly expensive)......new valve guides (fairly expensive).....new piston rings (total engine rebuild - very expensive).
Changing to a higher oil viscosity will actually wear out the engine FASTER. But a High Mileage oil with the same viscosity may helps. Read this post on why heavier weight oil is a bad idea.
http://ricksfreeautorepairadvice.com/cho...
Drive her until she dies and then source another used motor and flog that one to death.
not worth fixing - drive it until it blows up.
My 02 civic with 207k miles has been burning approx 1 quart per 1000 miles. It also smokes out the exhaust upon rev. I dont know alot about cars is it bad to drive it like this? Also is it going to be worth fixing? Thanks in advance.