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

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

    def add_job(self, job_id: str, data: Dict[str, Any]) -> None:
        self.jobs[job_id] = data
        self.retry_counts[job_id] = 0
        self.backoff_delays[job_id] = 0.0

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

        retry_count = self.retry_counts.get(job_id, 0)
        max_retries = 3
        backoff_sequence = [1, 2, 4]

        while True:
            try:
                processor(self.jobs[job_id])
                # Success
                self.retry_counts[job_id] = 0
                self.backoff_delays[job_id] = 0.0
                return True
            except Exception:
                if retry_count < max_retries:
                    retry_count += 1
                    self.retry_counts[job_id] = retry_count
                    delay = backoff_sequence[retry_count - 1]
                    self.backoff_delays[job_id] = delay
                    # Backoff delay tracked here instead of sleeping
                    # time.sleep(delay)
                else:
                    return False
```