It might be possible.
The best time for restoring the cube in an official championship was 10.48 seconds by Toby Mao (USA) at the US National Championships 2006 in San Francisco. The following table gives the world record history:
<CENTER></CENTER><TABLE style="WIDTH: 100%" cellSpacing=0 cellPadding=1 border=1><TBODY><TR class=newrec><TD>record holder
</TD><TD>event
</TD><TD>seconds
</TD></TR><TR class=oldrec><TD>Ronald Brinkmann (Germany)
</TD><TD>West German Championship 1982
</TD><TD>19
</TD></TR><TR class=oldrec><TD>Robert Pergl (Czechoslovakia)
</TD><TD>Czechoslovakian Championship 1982</TD><TD>17.02</TD></TR><TR class=oldrec><TD>Dan Knights (USA)
</TD><TD>World Championship 2003</TD><TD>16.71</TD></TR><TR class=oldrec><TD>
Jess Bonde (Denmark)
</TD><TD>World Championship 2003</TD><TD>16.53</TD></TR><TR class=oldrec><TD>
Shotaro Makisumi (Japan)</TD><TD>Caltech Winter competition 2004</TD><TD>15.07</TD></TR><TR class=oldrec><TD>
Shotaro Makisumi (Japan)</TD><TD>Caltech Winter competition 2004</TD><TD>14.76</TD></TR><TR class=oldrec><TD>
Shotaro Makisumi (Japan)</TD><TD>Caltech Spring competition 2004</TD><TD>13.93</TD></TR><TR class=oldrec><TD>
Shotaro Makisumi (Japan)</TD><TD>Caltech Spring competition 2004</TD><TD>13.89</TD></TR><TR class=oldrec><TD>
Shotaro Makisumi (Japan)</TD><TD>Caltech Spring competition 2004</TD><TD>12.11</TD></TR><TR class=oldrec><TD>Jean Pons (France)
</TD><TD>Dutch Open 2005</TD><TD>11.75</TD></TR><TR class=oldrec><TD>Leyan Lo (USA)
</TD><TD>Caltech Winter competition 2006</TD><TD>11.13</TD></TR><TR class=newrec><TD>Toby Mao (USA)</TD></TR></TBODY></TABLE>