Sure, just use the common BizForm API. Here a simple example:
BizFormItem item = BizFormItem.New("CLASS_NAME");
But, be aware that inserting new Form entries from your MVC application will NOT trigger any BizForm related events. If you need to work with events, then you should take another approach. We have succefully used the Kentico Integration bus to tell the CMS side to create the new BizForm item for us, which then WILL trigger common events.
More about that here: https://docs.kentico.com/k11/integrating-3rd-party-systems/using-the-integration-bus/creating-integration-connectors/implementing-incoming-synchronization