Can anti-static tweezers replace wrist straps?
No. 

"Anti-static" tweezers serve a different purpose than a wrist strap. A wrist strap keeps your BODY from building up a charge which can damage a component.

Antistatic tweezers provide a "controlled" way of equalizing the charge between your hand and the component. So that it doesn't "zap" the component. 

If you disconnect the wrist strap, it allows your body to build up a charge. And that almost makes the tweezers (of whatever kind) even MORE potentially dangerous.