```python
from typing import Callable

class JobQueue:
    def __init__(self):
        self.jobs = {}
        self.retry_counts = {}
        self.backoff_delays = {}

    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

        data = self.jobs[job_id]
        max_retries = 3
        current_retry = self.retry_counts[job_id]

        while current_retry <= max_retries:
            try:
                processor(data)
                return True
            except Exception:
                if current_retry < max_retries:
                    delay = 1 * (2 ** current_retry)
                    self.backoff_delays[job_id].append(delay)
                    current_retry += 1
                else:
                    break
        
        self.retry_counts[job_id] = current_retry
        return False
```