No. Grace is not permission to sin; it is the power that frees you from sin's rule. Paul asked this exact question and answered it with your identity: you died to sin, so why would you live in it? Grace changes what you want, not just what you're allowed.
The Grace Answer
This is the oldest objection to grace, and Paul heard it in his own day. If forgiveness is complete and free, what stops people from sinning all they want? He raised the question himself: Shall we continue in sin that grace may abound? And he answered it with force: Certainly not! How shall we who died to sin live any longer in it?
Notice how he answers. Not with a threat. Not by adding rules back to keep you in line. He answers with your identity. You died to sin. The old you that was enslaved to it was crucified with Christ. To go on living in sin would be like a freed prisoner asking for his chains back. Grace did not just cancel the penalty of sin. It broke sin’s ownership of you.
Why fear was never the answer
Some worry that unless you scare people with consequences, grace will run wild. But fear has never produced real holiness, only hiding and pretending. What actually changes a person is a new heart that no longer wants the old master. Sin shall not have dominion over you, for you are not under law but under grace. Grace is precisely what dethrones sin, because law only ever told you what to do while grace changes who you are.
There is a clue in how Paul argues, too. He never protects grace by watering it down. He preaches it so freely that people accuse him of encouraging sin, and instead of retreating, he answers the charge with identity. If a gospel is never once accused of sounding too good, it may not be the same gospel Paul preached. So the answer to “why not sin?” is never “because God will get you.” It is “because that is not who you are anymore.” You were joined to Christ. His life is in you. Sin is now beneath your identity, not native to it.
Grace is not a loophole that makes sin safe. It is the only thing strong enough to make sin lose its grip. The people who truly grasp grace do not sin more. They discover they finally want to sin less, and from freedom rather than fear.