Easily
The EcoBoost will handle it with or without the Max trailer tow package. It will handle it in either goose neck or bumper tow without Max trailer tow package. You probably wouldnt want to go lower than the 3.55 rear end ratio.
Trails West Trailers
RPM Enclosed BP » Specs
SIZE LENGTH WEIGHT TONGUE AXLE TIRE SIZE
RPM 20 20 ft. 3200# 380# 3500# 15" 8-ply LRD
RPM 28 28 ft. 4200# 440# 3500# 15" 8-ply LRD
RPM Enclosed GN » Specs
SIZE LENGTH WEIGHT TONGUE AXLE TIRE SIZE
28 ft. Box 35'6" 5600# 1100# 5200# 225/75/r15 LRD
34 ft. Box 41'6" 6100# 1525# 5200# 225/75/r15 LRD
2012 F 150
Maximum Towing Capabilities - Conventional/Fifth-Wheel Towing
Engine Ratio GCWR Max Trailer Weight lbs Cab
3.5L EcoBoost V6 3.73 16900 11100*/‡ Super Crew 4X4 157"WB
3.5L EcoBoost V6 3.73\4.10 15500 9600 Super Crew 4X4 145"WB
3.5L EcoBoost V6 3.73\4.10 15500 9500 Super Crew 4X4 157"WB
3.5L EcoBoost V6 3.73\4.10 17100 11200* Super Crew 4X4 145"WB
3.5L EcoBoost V6 3.73\4.10 17100 11100* Super Crew 4X4 157"WB
*Requires Max. Trailer Tow Package
†Limited
‡Heavy Duty Payload Package Required
I got this info off the Ford website
http://www.ford.com/trucks/f150/specifications/towing/
And the Trails West website
http://www.ford.com/trucks/f150/specifications/towing/