No, the lower court (say 2nd Circuit) determines the constitutionality of a law within its own territorial jurisdiction. Such never becomes accepted as the opinion of the Supreme Court by denial of cert. If a court from another jurisdiction (say 9th Circuit) rules differently, the Supreme Court may decide to rule on the issue and resolve it.
When a lower court decision is not appealed to the Supreme Court, or cert is not granted, the lower court decision remains the precedent for that territorial jurisdiction but is not binding as precedent on any other jurisdiction as is a Supreme Court decision.