Probably not for another year or so, and only if the PS4 (supposed to be around sometime next year apparently) isn't PS2 compatible. They shipped and supported the PS2 product line in NA long after the PS2 in NA was without an HDD.
HEY GOOGLE. @#%^ OFF YOU. @#%^ YOUR BULLsh*t SEARCH ENGINE IN ITS @#%^ING sh*tTY BINARY ASS. ALL DAY LONG.