No I don't think it's possible for the foreseeable future. Worldwide oil supply is exceeding the demand currently. Shortages are not driving this current run-up. And ANWR is a drop in the bucket compared to the Bakken Formation.
........................
While relatively new in Canada, Bakken exploration has been underway in the U.S. since 2000 and has increased dramatically in recent years. According to the U.S. Geological Survey, the Bakken formation could contain a mind-boggling 413 billion barrels of oil in place.
New curiosity developed in 2007 when EOG Resources out of Houston, Texas reported that a single well it had drilled into an oil-rich layer of shale below Parshall, North Dakota is anticipated to produce 700,000 barrels (111,000 m³) of oil. Estimates for ultimate oil contained in the entire Bakken play range from 271 billion to 503 billion barrels (40–80 km³), with a mean of 413 billion barrels (65 km³) of technically recoverable and irrecoverable oil.[6]
This massive estimate appears to dwarf the estimated 50–70 billion barrels (8–11 km³) of technically recoverable and irrecoverable oil in Alaska's North Slope. A conservative estimate of Bakken's technically recoverable oil would be 1% to 3%, or between 4.1 and 12.4 billion barrels (0.6–2 km³) of oil, due to the fact that Bakken's shale is so tight. However, other estimates range from 10% to as high as 50% technically recoverable reserves.[7] By comparison, recoverable oil estimates in the Alaska formation are 30% to 50%, or a mean of 26 billion barrels (4 km³).
Arctic Refuge Wildlife Reserve
A 1998 United States Geological Survey (USGS) study indicated at least 4.3 billion (95% probability) and possibly as much as 11.8 billion (5% probability) barrels (0.9 to 2.5 km³) of technically recoverable oil exists in the Arctic National Wildlife Refuge 1002 area, with a mean value of 7.7 billion barrels (1.7 km³). In addition, in the entire assessment area, which covers not only land under Federal jurisdiction, but also Native lands and adjacent State waters within three miles (5 km), technically recoverable oil is estimated to be at least 5.7 billion (95%) and as much as 16.0 billion (5%) barrels (0.7 to 1.9 km³), with a mean value of 10.4 billion barrels (1.2 km³). Economically recoverable oil within the Federal lands assuming a market price of $40/barrel (constant 1996 dollars - the highest price included in the USGS study) is estimated to be between 3.4 billion (95%) and 10.4 billion (5%) barrels (0.5 to 1.7 km³), with a mean value of 6.8 billion barrels (1.1 km³).[3]
The 10.4-billion barrels (1.65 km³) figure was used in publications by the U.S. Department of the Interior while it was headed by Gale Norton, a proponent of drilling in the Arctic Refuge.[10]
The U.S. consumes about 20 million barrels (3,200,000 m³) daily. If the Arctic National Wildlife Refuge oil reserves were used to supply 5% of the U.S. daily consumption -- most is imported from Canada (19%), Mexico (15%), Saudi Arabia (11.5%), Nigeria (10.5%) and Venezuela (10.5%)[11] -- the reserves, using the low figure of 4.3 billion barrels (680,000,000 m³), would last approximately 4300 days, or almost 12 years. Using the high estimate, the reserves would last approximately 11800 days, or 32 years. If the Arctic National Wildlife Refuge was used to meet 100% of U.S. demand, it would last for 215 days under the low estimate, and 525 days or just 1.4 years if it contained 10.4 billion barrels (1,650,000,000 m³).