Nope.
They're a registered company, there's a director with a name, there's this and that and the other that makes it very easy to arrest people who take money and keep it without ever delivering what was ordered.
On the other hand, a company that takes money, doesn't deliver, drags its heels and eventually returns the money, it's much harder to show what was done that was illegal.
Like I said, their prices don't include VAT which is why they look substantially cheaper. Take that camcorder in that previous Which? link: £1369.52 on The ElectroHut, £1619 on Jessops. Except the difference is the 20% VAT is included at Jessops (and there's £150 cashback, but I digress), whereas buying it from The ElctroHut, the buyer should also be sending the taxman £273.90. So the real price total is £1643.42, i.e. more expensive.
So their prices look cheaper then elsewhere yet aren't. The difference is that the VAT liability is transferred to the customer. The customer doesn't realise this, but the website doesn't ever claim that VAT is included and even specifies that the customer is liable in their Ts & Cs, so that makes it an incorrect assumption by the customer.
So, someone can set up a company, advertise items at seemingly low prices which are in fact more expensive than other companies pre-VAT, take the orders, and then try and source the stock. If they find a supplier that lets them fulfill the order and make a decent profit then they do that and the tax liability is left with the customer, not the company's issue if the tax man ever finds out. If the company can't meet the order, they take as long as possible before eventually refunding the customer, having held on to their money for weeks. In such a case, what have the company done that's actually, provably, illegal?
Those who get their orders have got a bargain in the sense that they've been helped to buy something without paying the VAT. They're now in the position of either (a) being honest and paying the outstanding 20% to HMRC, (b) being dishonest or clueless and not paying their dues, and in either case (c) having a piece of kit that might prove very difficult to get returned/repaired should it fail within the next year or two.