I'm assuming your talking about running with the ballancer's center or hub in place and the outer ring removed. The motor will run. But it will not run smoothly and if you rev it up you will experience a lot of vibration. Don't do it. If you have the hub and the ring take them to a good auto parts store. They should be able to match your parts to a ballancer in stock. Your Chevy dealer may be able to do it for you.

To do this job right you will need a harmonic ballencer puller and an installation tool. AutoZone and some others will loan you these tools if you buy the ballancer from them.

Plan on pulling the radiator.

When you replace the ballancer make sure you replace the oil seal in the timing cover. If you don't you will most certainly leak oil. This seal must be installed square and fully seated or it will work loose.