You can create an AWS CloudFormation stack from your local machine by using the AWS Command Line Interface (CLI) or an SDK (Software Development Kit) in your preferred programming language. Here are the general steps to build and deploy a CloudFormation stack:

Install and Configure AWS CLI:
You’ll need to install the AWS CLI if you haven’t already, and configure it with your AWS access and secret keys, which you can obtain from the AWS Management Console.

You can install the AWS CLI for your specific operating system from the official website: https://aws.amazon.com/cli/

After installing the CLI, you can configure it using the aws configure command and provide your access key, secret key, default region, and preferred output format.

Prepare Your CloudFormation Template:
Write your CloudFormation template in either JSON or YAML format. This template describes the AWS resources you want to create. You can create this template using a text editor or a CloudFormation designer tool, or you can use a template from a source code repository.

An example CloudFormation template:

Resources:
  MyEC2Instance:
    Type: AWS::EC2::Instance
    Properties:
      InstanceType: t2.micro
      ImageId: ami-0c55b159cbfafe1f0

Create the Stack:
Use the AWS CLI to create the CloudFormation stack by running the create-stack command. You’ll need to provide the stack name and the template file:

aws cloudformation create-stack --stack-name Stack1 --template-body file://my-template.yaml

Monitor the Stack Creation:
You can use the describe-stacks command to check the status of your stack creation:

aws cloudformation describe-stacks --stack-name Stack1

The stack will go through various states (e.g., CREATE_IN_PROGRESS, CREATE_COMPLETE, or CREATE_FAILED) during its creation.

Update or Delete the Stack (Optional):
You can update the CloudFormation stack using the update-stack command and delete it using the delete-stack command if needed.

For example, to update the stack:

aws cloudformation update-stack --stack-name Stack1 --template-body file://my-updated-template.yaml

To delete the stack:

aws cloudformation delete-stack --stack-name Stack1

Remember to handle your AWS credentials securely, and consider using AWS Identity and Access Management (IAM) roles with appropriate permissions to execute these commands.

Additionally, you can automate these steps using various scripting or automation tools if you need to manage CloudFormation stacks as part of a larger deployment process.