"You mean not to follow them?"

[Meneltarmacil]

Aragorn would probably have been able to convince Movie Faramir to let Frodo go before the Hobbits were taken to Osgiliath. I mean, once he convinces Faramir that he's a descendant of the kings and describes how he was there for the dying Boromir, it's kind of hard to argue with him. At this point, he may decide to send the Hobbits to Mordor with Legolas and Gimli while he joins the Rangers in defending Gondor, though I really don't know about this.

Also, I doubt Aragorn would have let Gollum come with them to Mordor.