Yes, there's a problem. You can't hang drywall over the insulation until the electrical and plumbing rough inspections have been completed and approved.
Here's why:
Code Requirement: The electrical and plumbing rough inspections must be completed before insulation is installed (per most local codes, typically based on the International Residential Code - IRC). Since the insulation is already in, those inspections should have happened first.
Practical Issue: If the inspector finds code violations in the electrical or plumbing work, you'll need to tear out the insulation to make corrections. Hanging drywall over uninspected or failed rough-ins means you'll be cutting into finished walls later.
Recommended Action:
- Stop - Don't hang drywall yet
- Verify - Confirm with the GC that the electrical and plumbing rough inspections actually happened before insulation was installed
- Inspect - If they haven't been inspected yet, schedule those inspections immediately
- Proceed - Only hang drywall after all three inspections pass
The GC may be trying to compress the schedule, but this sequence puts the project at risk for rework and delays. It's better to address this now than have to tear out completed work later.
Tell the GC that proceeding as planned could result in having to remove the drywall if corrections are needed, which would actually delay the schedule more than waiting a day or two for proper inspections.