Yes, but before ownership and production could stay in the UK and those companies would be able to trade unhindered within the European borders. Now, companies that want to trade in the EU and avoid tariffs will have to ensure that a large part of their business is 1. owned by European entities / citizens, and 2. a certain percentage of production HAS to be completed inside the borders of the EU.
Years ago, Dell moved it's computer assembly business from Ireland to Poland because the jobs were unskilled and the pay requirement was only minimum wage, and it just so happened Poland's unskilled labour was far cheaper than Irelands. That kind of move is fine, but when its high skilled labor jobs that are moving its another story. Take Rolls Royce jet engines as an example. The biggest earner for Rolls Royce on jet engines is the aftermarket servicing of the engines, not the sales of the engine. What happens when a services job like that is moved from its base in the UK? Or, Nissan in the northeast, something like 5000 employees, what happens if that shuts up shop? That's a pretty big domino to lose.
What I see potentially happening in the aftermath of what looks like now will be a no deal is that income taxes will go up so that the government can subsidise businesses to stay in the UK and try to offset any incurred expenses with business subsidies, like reduced corporation tax or jobs creation incentives.
At the end of the day, it will be the British tax payer that will foot the bill, which we've already seen by the commitments made by the British government to continue to pay the equivalent EU grants after membership ends.
IMO, yes there is going to be a couple of years where things are a little uncertain, but Britain will come out the other side. A lot of the uncertainty right now is because no one really knows what the playing field will be after Brexit, now we have a fair idea business and government can now start to get on with the task of building on the foundations of what will be on 29th March.
Just to add, Brexit has polarised everyone, which is completely understandable, but one thing everyone should be able to agree is that you should either be in, or out... one foot in and one foot out is not in the interest of Britain long term, the damage that could cause to Britain is a much bigger risk than completely out. It would be like having someone who doesn't know how to watersky tied to a speedboat, not a pretty sight.