simple answer: yes.
now for how to do it:
go into rpgmaker and find a map named intro.
there you should see a black map with three event blocks, open the top left event.
then click "clear eventpage", after that make sure that in the "trigger" box auto run is selected.
and now three important event commands must be added.
1:
insert a "script.." (it should be on the third page on the bottom right.)
this should open an emty text box then paste the followng line:
pbChangePlayer(0)
and then click ok (make sure there are no spelling errors, and it is case sensitive)
this tells the game it should use the sprites of character 0, wich is baseline male,(for female you chould change "0" to "1")
2:
here you must set the player name, to do this you must insert another script:
pbTrainerName("Dave")
and instead of Dave you schould choose whatever name you want the player to have.
or if you want to let the player choose the name you should insert the script:
pbTrainerName
but judging from your question you don't want to let them choose their own name.
3:
the third and final event comand you chould add is the transfer player command.
to do this you must add the transfer playe command, should be the first command on the second page.
now a screen should pop up wich will let you choose where you want to transfer the player to
under direct apointment there is an input bar, if you click it another screen should pop up.
find: \PN's house, in the list on the left of the screen, click on it.
this should open that map, and then you choose the spot you want the player to start.
this should close that screen, then you should direction to down and click on ok.
and don't forget to save the game
now if you select new game you should start in the player's house with the name you set.