Yes, though no idea about the timing. I agree with
@wdolson and others that manufacturing capacity for batteries may be the biggest slowdown. The car companies can switch to manufacturing BEV's fairly quickly (though they'd strongly prefer not to). I've no idea how fast battery production can be ramped though.
Here's a rather optimistic (though possible?) view:
End Of Gas Stations III: Coming To A Corner Near You
I do think that the benefits of BEV's will be the biggest driver of the conversion, not gov't mandates.
Once the public is sold, there will be no going back.
I think the article is a bit optimistic about the prevalence of BEVs in th near future and it's based on some numbers I don't think are accurate like the price of batteries is dropping at 35% a year. From 2011-2012 it looks like the drop was about 15% and from 2014 to 2015 it was only about 4%. The curve has been flattening out rather than accelerating. Now battery production at the GigaFactory could create a jump discontinuity decline for Tesla, but that won't affect anyone else.
I'm not sure where Volvo is going to get the batteries to built 10% of their cars as BEVs by 2020. Maybe LG Chem is building a new plant for them. I'm not sure.
Fossil fuels won't go away overnight. Even if passenger vehicles start switching over to BEVs en masse, batteries are going to have to get a heck of a lot lighter and a heck of a lot denser for widespread aviation use. And I don't see a way jet travel is possible without burning some kind of liquid fuel (you could do it with a nuclear reactor too, but that's a bad idea in so many ways, it's a good thing the ideas for nuclear aircraft were shelved back in the 50s).
We'll need a lot of spare battery production before big rigs can be converted.
If someone wants to build the infrastructure it is possible to make long haul trains electric, but the infrastructure to support them with external power will be subject to getting knocked out by severe weather and the system will require more maintenance than it does now.
Hybrid locomotives are in development now. Since the dawn of the diesel locomotive the traction motors have been electric and they brake using the same regenerative principle hybrids and BEVs use, but they have always just run the energy through giant resistors and vented the heat. Hybrids should be able to save a lot of diesel. If they want to make them plug in hybrids they could save even more. While an engine is sitting idle on a siding or while transferring cargo, the batteries could be charged and for the first bit the engine could run down the batteries before the diesel has to kick in.
ICE cars/light trucks will still have a market too. There are places in the rural west of the US, the Outback in Australia, and places in Africa, Siberia, etc. where electricity is not reliably available enough to power BEVs. Just like you would want a 4X4 truck rather than a Toyota Camry to drive long distances off road, having and ICE with some cans of fuel in the back would be a much better way to go for people who want or need to go a long ways from civilization.
That will be a niche market, but it probably won't go away until batteries get so dense you could drive 1000-2000 miles or more on a Model S battery pack.
The biggest user of gasoline in the world is the US military. Their aircraft and most ships will probably be using fossil fuels for quite some time to come and while they might make electric ground vehicles, they will often be charging them from diesel generators. Finding a working power outlet on a battlefield is problematic unless you bring it with you.
It would be ironic for the US military to fight a war for oil when they are one of the last people using it.