No. Proof:
SQL> SELECT spid, username, pga_used_mem, pga_alloc_mem FROM v$process;
SPID USERNAME PGA_USED_MEM PGA_ALLOC_MEM
------------ --------------- ------------ -------------
0 0
7004 oracle 214545 366221
7006 oracle 213761 366221
7008 oracle 214961 366221
7010 oracle 278193 1785513
7012 oracle 10770773 22910077
7014 oracle 302061 1657713
7016 oracle 483837 2053129
7018 oracle 484345 1152653
7020 oracle 662345 2070157
7022 oracle 1709397 3118745
7024 oracle 288857 497293
7026 oracle 651117 664177
7028 oracle 205425 205425
5265 oracle 254909 1152653
5251 oracle 315717 842025
7036 oracle 216101 366221
7052 oracle 449241 1218189
7059 oracle 231901 366221
19 rows selected.