```python
from typing import Callable, Dict

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

    def add_job(self, job_id: str, data: dict):
        self.jobs[job_id] = data
        self.retry_counts[job_id] = 0
        self.backoff_delays[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_schedule = [1, 2, 4]
        attempt = 0

        while attempt <= max_retries:
            try:
                processor(self.jobs[job_id])
                self.retry_counts[job_id] = 0
                return True
            except Exception:
                attempt += 1
                self.retry_counts[job_id] = attempt
                if attempt <= max_retries:
                    delay = backoff_schedule[attempt - 1]
                    self.backoff_delays[job_id].append(delay)
        
        return False
```