Yes - TurboTax supports
filing Form 2555, Foreign
Earned Income. The Deluxe, Premier and Self-Employed versions of TurboTax Online all support Form 2555 (not Federal Free).
Please see
the following TurboTax FAQ, "What are Forms 2555 and 2555-EZ used
for?", for instructions on how to enter information in TurboTax about your
(or your spouse's) foreign earned income:
https://ttlc.intuit.com/replies/3301984