[SalesForce] Is it possible to dynamically create LWC from aura component

You need to set the LWC's public property recordId from the aura component. Change your aura component to

<aura:component implements="flexipage:availableForAllPageTypes,force:hasRecordId"> <c:ps_testdriveSlots recordId="{!v.recordId}"/> </aura:component>

The public API of LWC components are exposed on the DOM element. The reason why your example doesn't work is because component.find() returns an Aura component instance, which in this case is the abstraction layer used to make LWC compatible with Aura. To access the underlying DOM element of an LWC component, you have to dig it out of the Aura component via the getElement method:

var auraCmp = component.find('childComponent');
var lwcElm = auraCmp.getElement();
lwcElm.method1();

Edit: Invoking the LWC method directly from the Aura component is supported. Both methods will work, but I recommend doing it the Aura way when developing in Aura.