Is it possible to make a search engine like Google?

The answer is 100% impossible is not possible.
This is how you can do so: 

Gather and organize data: Collect a large amount of data from various sources such as websites, databases, and social media platforms. Organize the data in a way that makes it easy to search and retrieve.

Create an index: Create an index of all the data collected. The index should contain keywords and phrases that are relevant to the data and that users are likely to search for.

Build a search algorithm: Create a search algorithm that will be used to match user queries with the indexed data. The algorithm should be able to understand and interpret user queries and return relevant results.

Design the user interface: Create a user-friendly interface that will allow users to input their queries and view the results. The interface should be easy to navigate and understand.

Test and refine: Test the search engine with a small group of users to gather feedback. Use the feedback to refine the search algorithm and user interface.

Launch and promote: Once the search engine is fully functional, launch it to the public and promote it through various channels such as social media and online advertising.

Monitor and update: Continuously monitor the search engine's performance and update it as needed to ensure it remains relevant and efficient.