The REST API is not enabled for this Organization when integrating with Salesforce

I am exploring Jotform integration into Salesforce to determine if it is worth purchasing, but when I try to authenticate it gives me this message: The REST API is not enabled for this Organization.

I tried to search it in the user guide with no clear answer so can you tell me what this means? Is it not possible to integrate jotform with my agency's database?

Please note that it is required to have the API access for the Salesforce account to connect to your Jotform. The API access can be enabled only with specific editions of Salesforce. Please see the documentation from Salesforce below:

https://help.salesforce.com/articleView?id=000005140&type=1

You can check the Enabling API access document to enable the API on your Salesforce account.

Hope this information helps.