The answer is yes. As explained above, the amount of asymptomatic carriers is a real concern, particular in health environments. Targeted testing is what should be happening.
Look at it this way - there's been a minimum of 60k tests a day carried out each day for the past few months I believe (could be wrong, hard to trust their figures), and yet the amount of confirmed cases has only recently gone into 4 figures. So the overwhelming majority of people being tested don't have it.
Now, for those being tested because they work in a hospital, in a care home etc..., that's fine. Use the test, check you're safe.
But so, so many people are getting themselves tested because they've got a cold, or because they've just come back from holiday, or because a guy they once knew at school sneezed at a party five years ago. The testing capacity is not at, nor should it be, the level whereby people can get tests just because they want the peace of mind. It should be used for those with symptoms, those working in health environments. Everyone else should maintain social distancing and look after themselves.