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

class JobQueue:
    def __init__(self):
        self.jobs: Dict[str, Any] = {}
        self._retry_counts: Dict[str, int] = {}
        self._backoff_history: Dict[str, list] = {}

    def add_job(self, job_id: str, data: Any):
        self.jobs[job_id] = data
        self._retry_counts[job_id] = 0
        self._backoff_history[job_id] = []

    def process_job(self, job_id: str, processor: Callable) -> bool:
        if job_id not in self.jobs:
            return False

        max_retries = 3
        backoff_delays = [1, 2, 4]

        while True:
            try:
                processor(self.jobs[job_id])
                return True
            except Exception:
                current_retry = self._retry_counts[job_id]
                if current_retry >= max_retries:
                    return False
                
                delay = backoff_delays[current_retry]
                self._backoff_history[job_id].append(delay)
                self._retry_counts[job_id] += 1
```