Per the description it looks like the answer would be a conditional yes. The landlord has to approve and there would be an additional deposit to be negotiated. Here are the verbatim conditions from the Trulia listing.
Information last updated on 07/13/2013 01:59 AM:
Status: For Rent
Small Dogs, Large Dogs, Cats
All pets will be considered and approved per landlords discretion. Additional separate pet deposit negotiable.
Good Luck, and if I can be of any assistance you may write me at firstname.lastname@example.org
Premiere Plus Realty