```python
import time
from typing import Callable, Dict, Any

class JobQueue:
    def __init__(self):
        self.jobs: Dict[str, Any] = {}
        self.retry_counts: Dict[str, int] = {}
        
    def add_job(self, job_id: str, data: Dict[str, Any]) -> None:
        self.jobs[job_id] = data
        self.retry_counts[job_id] = 0
        
    def process_job(self, job_id: str, processor: Callable) -> bool:
        max_retries = 3
        delay = 1
        
        try:
            processor(self.jobs[job_id])
            return True
        except Exception:
            for _ in range(max_retries):
                self.retry_counts[job_id] += 1
                time.sleep(delay)
                delay *= 2
                try:
                    processor(self.jobs[job_id])
                    self.retry_counts[job_id] = 0
                    return True
                except Exception:
                    pass
            return False
```