First, you need to access Shopify's API to retrieve data. Log into your Shopify admin panel, navigate to "Apps," and then click on "Develop apps for your store." Create a new private app, and under the "Admin API" section, grant the necessary permissions for the data you want to export (e.g., orders, products). Save the API credentials (API key and password) which will be used for authentication.

To interact with the Shopify API and AWS S3, ensure you have Python and pip installed on your system. You will need the `requests` library to make API calls and `boto3` to interact with AWS S3. Install these packages using pip:
```
pip install requests boto3
```

Use Python to write a script that makes API calls to Shopify. For example, to retrieve product data, send a GET request to the endpoint `https://your-store-name.myshopify.com/admin/api/2023-10/products.json` using the API credentials for authentication. Parse the JSON response and extract the required data. Here's a basic example:
```python
import requests
shop_url = "https://your-api-key:your-password@your-store-name.myshopify.com/admin/api/2023-10/products.json"
response = requests.get(shop_url)
data = response.json()
```

Once you have the data, you might need to format it before uploading. Convert the JSON data to a CSV or keep it as JSON, depending on your preference. Here's an example of converting JSON to a CSV:
```python
import csv
with open('products.csv', 'w', newline='') as file:
writer = csv.writer(file)
writer.writerow(["id", "title", "vendor"]) # Example headers
for product in data['products']:
writer.writerow([product['id'], product['title'], product['vendor']])
```

Log into your AWS Management Console and navigate to S3. Create a new bucket to store your Shopify data. Configure the bucket settings according to your needs (e.g., region, permissions). Note the bucket name and region as you'll need this information for uploading data.

To interact with S3, ensure your AWS credentials are configured on your system. You can do this by installing the AWS CLI and running `aws configure`, then entering your AWS Access Key ID, Secret Access Key, default region, and output format. Alternatively, you can set environment variables for `AWS_ACCESS_KEY_ID` and `AWS_SECRET_ACCESS_KEY`.

Use `boto3` in Python to upload your data file to the S3 bucket. Here's an example script:
```python
import boto3
s3 = boto3.client('s3')
bucket_name = 'your-bucket-name'
s3.upload_file('products.csv', bucket_name, 'products.csv')
```
This script uploads the local `products.csv` file to the specified S3 bucket. Adjust the file paths and bucket names as necessary.
By following these steps, you can move data from Shopify to an S3 bucket without using third-party connectors or integrations.