You can create a GET API without requiring authentication, yes. An example of this is Reddit's JSON API. https://reddit.com/.json is a simple way to view a page on their site in JSON format, which can then be parsed by my server to display reddit content. No login, no posts, no authentication.
However, you will notice that Reddit limits what you can do with that... I can only read information. It is NOT secure to allow database modifications through GET when the values supplied are coming from the user, and especially if you aren't using HTTPS protocol with other secure methods of authenticating too. I say this because when you don't have proper rate limits in place, and no formal method of authenticating who is connecting to your server, it becomes incredibly easy to crash your database tables if you are allowing DB changes on the fly through the API..
Now, for JWT - This article here is a great one that I usually send people to:
https://jwt.io/introduction/
It breaks it down fairly well, but ultimately you are going to realize that JWT is not too ideal for no login systems. but not impossible. Here are 2 examples of similar questions on SO that may help you :)
Secure REST API without user authentification (no credentials)
How to use JWT without user and login?
Hope this all helps you make an informed decision.
If you really don't want logins, have you considered email-verification ? It's just, the purpose of JWT is kind of weakened without a method of validating who is coming with the token through other means. I personally wouldn't rely on JWT as a standalone measure of security.
Here's an example of a simple & secure REST API... This would allow someone to fetch some content for a blog article (id) or something like that.
<?php
if(isset($_GET['content'])){
$id = FILTER_VAR($_GET['content'], FILTER_SANITIZE_NUMBER_INT);
$db = $connect->prepare("SELECT content FROM table WHERE id = ?");
$db->bind_param("i", $id);
$db->execute();
$db->bind_result($content);
$db->fetch();
$db->close();
echo $content;
} else {
echo "What do you want?";
}
?>
No tokens needed, no login needed.. that's a simple database fetch & output for a GET API.