from typing import Callable, Any, Dict

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

    def add_job(self, job_id: str, data: Any) -> None:
        self.jobs[job_id] = {
            "data": data,
            "retry_count": 0,
            "last_backoff": 0
        }

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

        job = self.jobs[job_id]
        retry_count = job.get("retry_count", 0)
        max_retries = 3

        while retry_count <= max_retries:
            try:
                processor(job["data"])
                job["retry_count"] = 0
                job["last_backoff"] = 0
                return True
            except Exception:
                if retry_count >= max_retries:
                    return False
                
                # Calculate exponential backoff: 1s, 2s, 4s
                backoff = 2 ** retry_count
                job["last_backoff"] = backoff
                job["retry_count"] = retry_count + 1
                retry_count = job["retry_count"]

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


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

    def add_job(self, job_id: str, data: Any) -> None:
        self.jobs[job_id] = {
            "data": data,
            "retry_count": 0,
            "last_backoff": 0
        }

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

        job = self.jobs[job_id]
        retry_count = job.get("retry_count", 0)
        max_retries = 3

        while retry_count <= max_retries:
            try:
                processor(job["data"])
                job["retry_count"] = 0
                job["last_backoff"] = 0
                return True
            except Exception:
                if retry_count >= max_retries:
                    return False
                
                # Calculate exponential backoff: 1s, 2s, 4s
                backoff = 2 ** retry_count
                job["last_backoff"] = backoff
                job["retry_count"] = retry_count + 1
                retry_count = job["retry_count"]

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


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

    def add_job(self, job_id: str, data: Any) -> None:
        self.jobs[job_id] = {
            "data": data,
            "retry_count": 0,
            "last_backoff": 0
        }

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

        job = self.jobs[job_id]
        retry_count = job.get("retry_count", 0)
        max_retries = 3

        while retry_count <= max_retries:
            try:
                processor(job["data"])
                job["retry_count"] = 0
                job["last_backoff"] = 0
                return True
            except Exception:
                if retry_count >= max_retries:
                    return False
                
                # Calculate exponential backoff: 1s, 2s, 4s
                backoff = 2 ** retry_count
                job["last_backoff"] = backoff
                job["retry_count"] = retry_count + 1
                retry_count = job["retry_count"]

        return False
```