I do it all the time, the kitchen is the only bench with a sink with enough space for beakers and things (bathrooms and laundry are just big tubs with no bench).
Nothing worse than ilford/kodak/rodinal chems, no alt processes ... yet.
An awful lot of electrons were terribly inconvenienced in the making of this post.
The (relatively benign) chemicals I use in my photography are chemicals that I am familiar with, know how to handle, know how to clean up and treat with respect - so I do.
“Photography is a complex and fluid medium, and its many factors are not applied in simple sequence. Rather, the process may be likened to the art of the juggler in keeping many balls in the air at one time!”
Ansel Adams, from the introduction to The Negative - The New Ansel Adams Photography Series / Book 2
The only thing I would not do (and looks like he does not) is blow dry the coated paper. That kicks up platinum salts into the air and that can be very nasty to the lungs. So it would not be nice to have platinum salts flying around the kitchen.
The toxic and potentially toxic effects of platinum in workers are believed to be related to certain water-soluble platinum salts (e.g., potassium hexachloroplatinate, potassium tetrachloroplatinate, sodium chloroplatinate and ammonium chloroplatinate). Inhalation exposure to these platinum salts is known to give rise to manifestations of respiratory allergy. The first report of such reactions to platinum compounds appeared in 1911 among photographic workers who suffered respiratory and skin disorders. Similar clinical manifestations—rhinitis, conjunctivitis, asthma, urticaria and contact dermatitis—have since been reported mainly in platinum refinery workers and chemists.