You'll find that similar little tactics have been done before.
In 1982 France was requiring imported VCRs to go through Poitiers (hint, inland, not major logistical hub) to get inspected. Along with telling the 2 custom agents there not to be in a hurry.
Eventually, France used another bureaucratic measure to try to shave down the Japanese advantage in its domestic market.
"The government has decreed that all imported video recorders must now be cleared by customs at Poitiers in central France," Bazay explained.
Bazay said that meant truckloads and trainloads of VCRs had to be inspected at a facility that had just two customs agents working there.
One agent has received instructions to get lost in paperwork," said Bazay. "The other is under orders to be extremely curious, to check the serial numbers of nearly every [VCR] set."
Didn't go to WTO but after a Japanese complaint, the ECJ/EC apparently issued an opinion stating that it was not unlike a quantitative limit.
Can't be that frequent however, the reason it stuck in my memory is that The Economist mentioned this again, about a decade later, as an example of amusing creative limits to trade.
Also, in the mid-80s IIRC there were also a number of rounds of Voluntary Export Restrictions arrived to by Japan, on US requests, concerning Japanese cars. Would be interesting to see how the background there lines up with this question.
Also, a good starting point for searching is the term Nontariff barrier.
Found this one, (WTO) Non-tariff barriers: red tape, etc:
Import licensing: keeping procedures clear
Although less widely used now than in the past, import licensing systems are subject to disciplines in the WTO. The Agreement on Import Licensing Procedures says import licensing should be simple, transparent and predictable. For example, the agreement requires governments to publish sufficient information for traders to know how and why the licences are granted.