I realize this question is dated, but here in 2017, the answer is certainly, "yes." We can do 10% down jumbo financing up to a purchase price of about $1.9MM for a non-permanent resident alien on a valid work visa so long as the following are met:
*Established US credit (generally this means two years and multiple credit "tradelines").
*US tax returns filed for the last two years.
*All other qualifying criteria applicable to US citizens and permanent resident aliens.
We have helped many buyers in California with these scenarios and the rate/terms are very comparable to what one might otherwise find as a citizen.
Let me know if I can be of service any time. Thank you!