hays, many home exchange sites offer the possibility for members to add their "lifestyle preferences" in their member profile. Or with other words, you can search for other members with the same requirements as yours. At ,
JewettStreet.com for instance, you can do a search for other members with pets.
Also, in the preparing stage of a planed home exchange, home exchange partners usually come to an agreement how to handle the pet situation.
You and your home exchange partner decide together what works best in your particular situation.