Yes, though obviously none will be up to par with the USA. I see a few of these joining together or being absorbed by the neighbors though.
The New England states will likely federate fairly quickly. They were already well known for the merchants and trading, and I see nothing about that changing here. Save perhaps eventually tempting Acadia away from Britain/Canada - probably buying it from a very close Britain - New York would close off expansion west, so if they expand, they could rely on overseas colonies.
New York will be a power in its own right, but by joining either New England or Pennsylvania's grouping, they have the chance to play kingmaker. They can cement New England's place as the New World's leading merchant power, ensure Pennsylvania becomes its leading industrial power, and either one they join now has the potential to compete with Virginia over the Ohio valley. Of course, they could well remain independent, in which case all bets are off.
New Jersey joins either Pennsylvania or New York or gets divided between them. My money is on them joining Pennsylvania and perhaps urging New York to do the same.
Pennsylvania could likely rope in New Jersey and Delaware, forming a rump Middle American United States of sorts from the three early adapters of the Constitution. They were already on the way to being the industrial and production capitals of the 13 colonies, and I see little to change that here. They might compete with Virginia over the Midwest, but I see them dividing it cleanly, with Pennsylvania dominating the Great Lakes and Virginia getting the Ohio River region.
Poor Delaware... so far from god, too close to Maryland and Pennsylvania. Whichever moves first gets it, but my money is on Pennsylvania, if only to ensure Philadelphia has coast access.
Maryland will be stuck between Virginia and Pennsylvania, blocked off from the West, but unlike Delaware, more than capable of playing the two against each other to remain independent. Which is actually where I see Maryland's role in this - serving as a buffer state between the Virginian and Pennsylvanian heartland, with Baltimore eventually becoming the diplomatic center of the former 13 colonies.
Virginia would be the strongest of the bunch, to say nothing if they can rope in North Carolina or Maryland. They had the biggest, richest and most educated population base, the strongest hold out west with the best ways to access it, and without the influence of the other Southern states, have a good chance at eliminating slavery. They'd also have the best, and perhaps ONLY chance to claim land on the other side of the Mississippi River.
North Carolina is almost certain to either join either Virginia or South Carolina, depending on who makes a better offer or where they feel they'll get a better deal with. There is also the potential for division between the two - there was an existing cultural and economic divide between the Northern parts of the state that related more to the Upper South/Virginia, and the Southern parts of the state, that had more in common with the Deep South/Carolina Georgia.
South Carolina has the chance to be the only real power south of Virginia, at least if they can be diplomatic. They'd be the kings of the cotton trade, and unabashedly in favor of slavery and the slave trade.
Georgia at the time consisted of Savannah and some plantations at this point. I guarantee they either join with South Carolina or become a European satellite state VERY quickly.
End result, you might not have 13 colonies turn into 13 countries, but the 5 or 6 you'd eventually end up with are all viable and potentially distinct from each other.