If both are on the same machine (or on different machines but the servers are linked)
you can create the table with the script you can generate automatically and do this to copy the data:
INSERT INTO [destinationdb].[dbo].[destinationtable] SELECT *
FROM [originaldb].[dbo].[originaltable]
(Prepend [servername] to the database name if you'll be using linked servers)
Another option is to enable xp_cmdshell (do with care, it's relaxing security constraints) and use the bcp command line utility from the management studio to create copies you can then import into the other database/server. You can do that directly from the shell as well and do not need to enable xp_cmdshell in that case, of course.