Yes, this can be done -- though you need to do a couple of things before you start the game.
Firstly, open the editor and jot down the Unique ID of the player / players you have created. Then open notepad and write the following...
"CHANGE_PLAYER_NAME" UniqueID "First Name" "" "Last Name"
Although this says Change Player Name, it will in fact work in the opposite way when you deselect the Use Real Players option on the new game screen.
Place the Unique ID in the position stated above. Then enter the names of your created players in the corresponding sections. The middle "" is for the player(s) common name -- if you aren't using a common name you still need to write ""
Save this file as a .LNC file (just write .LNC at the end of your file name and it will do it) to...
If you are using the default database.
C / Program Files / Sports Interactive / Football Manager 2010 / data / db / 1000 / inc / all
or
If you are using an updated database then you will need to save the file there instead. If this is the case, you will need to go to C / Program Files / Sports Interactive / Football Manager 2010 / data / updates / AND THEN FIND THE INC / ALL FOLDER IN THE UPDATED DATABASE.
If you get a message saying you can't save in this area because you don't have administrator control (or similar) then you can save the file to your desktop and then cut and paste it into the correct area.
Load your game and everything should be how you want.
AFTER TESTING I'VE DISCOVERED THAT THIS WILL KEEP THE PLAYERS NAME, POSITION AND CLUB THE SAME AS THE INFO IN THE EDITOR, BUT NATIONALITY AND STATS CAN CHANGE. I'LL POST HERE IF I CAN GET AROUND THAT.