It is possible, the biggest problem is that photography is a tricky process and not terribly intuitive. Thus, it takes a certain degree of abstraction and an experimental mindset to get there. But let's try some ideas:
c. 900 an alchemist in Cairo experiments with metals and manages to dissolve silver in nitric acid, creating silver nitrate. He attempts to use the liquid as a metallic paint on glass, but finds that it turns black when exposed to light for any length of time. He described the process and turns to more interesting areas, making a lucrative career providing paints for the glass industry.
c. 1100 the 'shadow on glass' has become a commonplace parlour trick of alchemists and magi throughout the Mediterranean. A glass plate is coated in silver nitrate and exposed to light with a shadow cast (or item placed) on it. The resulting image disappears over time evewn if kept in a dark room, but it impresses donors enough to pay large-ish sums to the few people in on the secret.
1088 Shen Kuo describes the use of silver nitrate as a means of temporarily 'freezing' images by means of a camera obscura in his 'Dream Pool Essays'
c. 1220 Lin Gifei, a chemist working in saltpeter production, applies various acids to kelp ash used to produce sodium carbonate. He notes a dark reddish-purple crystal and produces more, trying to find a possible use for his discovery.
1268 Albertus Magnus describes the use of a camera obscura as a drawing aid for painters and sculptors aiming for accuracy.
c. 1300 Florentine painters attempt to make sketches from camera obscura images. First attempts to utilise the known light-sensitive properties of silver nitrate.
1374 an anonymous Chinese Daoist manuscript describes the production of silver iodide from silver nitrate and iodine. The material's light sensitivity is described, but no application suggested.
1427 Jan van Eyck accompanies several Burgundian courtiers on a journey to Florence. He demonstrates his camera lucida to local artists and in turn learns the use of the camera obscura. The silver nitrate process by now is used to create basic, impermanent images
1498 Leonardo da Vinci designs a lightproof frame to keep a silver nitrate image 'permanently'.
1524 Trithemius describes Silver idiode for the first time in Western history.
1543 A text attributable to Xu Wei describes a simple process of 'washing' a silver iodide plate with mercury.
1589 Tycho Brahe uses silver iodide plates to record stellar movements over time. He discovers or learns of the mercury treatment and applies it.
1597 Karel van Mander uses mercury vapours to stabilise silver iodide plates used for sketches
1612 Cornelis Corneliszoon van Haarlem publicly displays the silver iodide-mercury process to a circle of amateur scientists and explains its use in still life painting
1669 Robert Hooke develops a lens and mirror arrangement for a camera that allows silver iodide images to be exposed more safely and easily
1672 Charles II has himself 'luminargyrographed', touching off a fashion for early photography.