Actually, no. From the very link you provided it’s clear that an individual makes a petition - though often advisable that he provide additional letters from others as to the sincerity and authenticity of his request. I refer you back to your link:
“Under the new constitution of the Roman Curia by Pius X, any private person may personally approach and petition the Holy See. But it is always well, and often necessary, to present commendatory letters of the petitioner’s ordinary, as in the case of faculties, dispensations, and such like. It is also frequently advisable to make use of an agent in Rome, who can attend to the matter personally. For this purpose any trustworthy man may be chosen, provided he be acceptable to the Sacred Congregation with which he has to treat. (Cf. Const., “Sapienti Consilio”, Normæ communes, c. ix.)”