My view is that the verb construction was at first "to click on something". Then the preposition "on" was dropped because of frequent use of the verb to click + object in the Internet sector. The phenomenon that a prepositional object is simplified to a direct object occurs frequently. But dictionaries still don't pay too much attention to such things so it is often a bit difficult to verify what has happened when double verb constructions are used.
I would understand "to walk the dog" (to walk with the dog) as such a simplification of verb construction. Or "Shadow walked the meadow (for: walked across the meadow, or another appropriate preposition. In American Gods, page 565). Also: The general marched his soldiers across the country. If one looks for such things you find a lot of examples.
By the way, I find the terms "transitive or intransitive verb" used for describing verb constructions very vague and imprecise. The two terms are traditional terms of verb construction in Latin grammar, but today two terms for describing about fifty verb constructions is a bit primitive.
If you look at constructions of the type verb + object we should have a special term for
the fact that a verb is mainly used without any object (He was laughing) and we should have a term when a verb is used with prepositional object.
"intransitive" can mean: no object at all or a prep-object (prepositional object) and that is imprecise because the term means two things.
There are a lot of other verb-constructions, with adjectives, with infinitive, with gerund, with past participle, with two noun objects, with clauses and so on - for all these constructions there are no names. And in dictionaries it is often difficult to get a survey about the various constructions of the verb. A grammar sector that is not studied enough and grammars have not managed yet to give an overview of all the possibilities and an arrangement of these possibilities that helps a learner.