How to send and receive intake forms

Short answer: Yes, you can absolutely do this using the tools you've mentioned - but you will need some sort of database/storage to keep a record of the forms; and in this case DynamoDB might be the right answer.

That said: This is a complex topic; there are many ways to do what you need to do and the "right" way is going to depend on a lot of things, including your comfort level with the technology.

I'd strongly recommend that you reach out to your local AWS Solutions Architect - it's a much better way of determining how to build your solution.