Before you start, ensure you have Python installed on your system, as it will be used to fetch data from the Polygon API and interact with DuckDB. Install the necessary Python libraries by running `pip install requests duckdb`.

To access the Polygon Stock API, you need an API key. Sign up at Polygon.io, navigate to the API keys section in your account settings, and note your API key.

Use Python's `requests` library to make HTTP requests to the Polygon API. For example, to fetch daily stock prices, you can use:
```python
import requests

api_key = 'YOUR_API_KEY'
url = f'https://api.polygon.io/v2/aggs/ticker/AAPL/prev?apiKey={api_key}'
response = requests.get(url)
data = response.json()
```
Replace `AAPL` with your desired stock ticker and adjust the URL for different endpoints as needed.

Once you receive the JSON response from the Polygon API, parse it to extract the relevant data. You can use Python's built-in JSON handling capabilities to navigate through the JSON structure.
```python
stock_data = data['results']
for entry in stock_data:
print(entry)
```

DuckDB is an in-process SQL OLAP database management system. With DuckDB installed via `pip install duckdb`, create and configure a new database file if necessary:
```python
import duckdb

conn = duckdb.connect('my_database.duckdb')
```

Define a table schema in DuckDB that matches the structure of the data you extracted from the Polygon API. Use SQL commands to create the table and insert data:
```python
conn.execute('''
CREATE TABLE IF NOT EXISTS stock_data (
ticker VARCHAR,
date DATE,
open FLOAT,
high FLOAT,
low FLOAT,
close FLOAT,
volume INT
)
''')

for entry in stock_data:
conn.execute('''
INSERT INTO stock_data (ticker, date, open, high, low, close, volume)
VALUES (?, ?, ?, ?, ?, ?, ?)
''', (entry['T'], entry['t'], entry['o'], entry['h'], entry['l'], entry['c'], entry['v']))
```

Once the data is inserted, run a simple query to verify the data is correctly stored:
```python
result = conn.execute('SELECT * FROM stock_data LIMIT 5').fetchall()
for row in result:
print(row)
```
This step ensures that your data movement was successful and that your data is correctly structured within DuckDB.

By following these steps, you can effectively move data from the Polygon Stock API to DuckDB without relying on third-party connectors or integrations.