The actress dated the 'Brokeback Mountain star for two years, before the couple split in 2004, and admits they haven't remained on friendly terms.
She said: "It would be nice to see him. But we're not good friends."
While Jake is now dating Oscar-winning beauty Reese Witherspoon, there is no one special in Kirsten's life at present.
Kirsten, who was born in New Jersey, recently went on a trip across America and was shocked at how much poverty there is in her home country.
She said: "After we were done, I was like, 'Wow, America is so poor.' Just the towns you come across - all that's there are restaurants and gas stations. There are beautiful stretches of pasture, but for the most part, people live simply. The East and West Coast are so different from the rest of America."