Yes. With OW airlines ffp you can get award flights on other airlines subject to availability.
The cost in miles/avios/points and cash surcharge (if applicable) can/does vary a lot between ffp's. As do the award rules, particularly for a for a muilti segment trip.

Frequent Flyer Award assistance tools
Use at your own risk. (These are not recommendations)
These links give a guide of ff miles needed. These may not be up to date.
-AwardAce: Compare Award Redemptions Across Airlines In Seconds --> http://www.awardace.com/ Has surcharge indication
-Economical Excursionist's Tools to compare Frequent Flyer Mile Redemptions --> http://www.flyermiler.com/
-http://www.flyertalk.com/forum/trave...ast-miles.html --> http://www.awardhacker.com/