That is utterly ridiculous. There is absolutely nothing in any of the Third Doctor/Jo stories that even hints of the Doctor having romantic feelings for Jo. The closest Classic Who gets to romance between the Doctor and a Companion is in two stories: In City of Death, the Doctor and Romana II hold hands while running through the streets of Paris. They're not trying to escape from anything; they're doing that for the sheer exuberant fun of it. Later on, in State of Decay, the Doctor tells Romana, "You're wonderful." She's surprised, and shyly pleased that he would say that to her.