@Vishwanath Swaminathan Thanks for reaching out and apology for the delay.
Unfortunately, there are no connectors available in logic app, azure data factory or azure function trigger that can help you with your use case. The avaiable connector for azure data factory is listed here and for logic app you can refer to this connector document.
The alternative would be writing your own code and connecting to JMS queue to read/send the messages to the queue. I am not an expert in Oracle Weblogic JMS but I believe you can leverage the JMS client library to perform the operations. You can try exploring this article (third party) in case if you want to create the custom connector in logic app.