Integration with Salesforce via API

Is there a way of integrating with Salesforce using the API, please? We are not allowed to use integration services like Zapier etc. in our organisation.

Hi, I realise I didn’t give a lot of enough with this. This is what I’d like to achieve:

We already have projects and accounts set up in Clockify that match a particular record type and the account name in Salesforce (this is achieved via API data transfer).

I would like, if possible, to have some kind of time entry field in the SF record that, when a button is clicked, will apply that amount of time to the project with the same name in Clockify.

Is this possible?