Short Awnser: No.
Long Awnser: Definately not.
There are two sides to this , the variable pattern of slave trading (particularly the different requirements of the carribean and North America) and demographics.
The plantations of the Caribbean were , unlike the South , always primarily interested in Sugar , with irregular diversions into Indigo , Rice and a couple of other cash crops. Sugar cultivation requires immense amounts of labour at pretty much every stage of production , from planting and harvesting to processing and shipping. Combined with the ardour of merely living in a tropical environment and the pressures of over-cultivation , this led to an exceptionally high death rate. This had many consequences , but for this context it has two main effects on the demographic picture. For a start , it meant that large numbers of slaves had to be imported yearly to maintain the system. Secondly it meant that only a bare minimum of white settlers ever came to the island , with most of the landlords being absent.For this reason , black slaves always made up the larger part of the colonies population and the slave trade was crucial in order to maintain their numbers.
Now , north america was quite different. With the exception of Louisiana , carribean style plantations were not possible due to the colder climate. As such two key things occur. Firstly , the benign climate makes the area more popular for white emigrants , and two the crops grown shift to tobacco and later cotton. The result is a radically different economic and demographic structure. Rather than massive plantations that require hundreds of slaves with a high turnover of labour you find smaller family owned farms that instead use only a relatively small amount of slaves. With a much smaller demand for labour that peaks only during the harvest , slaves tended to live much longer than their Caribbean counterparts and had considerably more time to themselves. As is human , they used this time to create their own societies and families , a phenomena rare in the plantations over the water. This is a key development , because it meant that rather than requiring constant shipments of new labour the black population in America first became self-sustaining , and later grew naturally of its own accord. As such the slave trade was already in decline by the time it was banned , as demand for fresh slaves dropped. As both the slave population and the southern economy matured the total number of slaves grew , but never approached the same proportion of the population as found in the Caribbean.