It is possible. We need to win EL though as prerequisite.
Current ranking:
I pot:
1. Barcelona
2. Bayern
3. Real
4. Chelsea
---MU--- No CL next year
5. Benfica
6. Arsenal - CL qual.
7. Atletico
---Valencia--- No CL next year
8. Porto - CL qual
II pot:
---Milan--- No CL next year
---Lyon--- No CL next year
---Inter--- No CL next year
1. Schalke - CL qual.
2. Borussia - 80.1 pts.
3. PSG - 78.2
4. Shakhtar - 78.1
---Tottenham--- 75.8, No CL next year
5. Juventus - 74.187
6. Zenit - 73.9
7. Basel - 73,5
8. City - 72.8
III pot:
---Marsylia--- 70,2 pts, No CL Next year
1. Leverkusen - 70,1 pkt, CL qual.
---Rubin--- na 90%, No CL next year
2. Olimpiakos - 67.7 pkt
---CSKA--- 66 pkt, No CL next year
3. PSV - 64 pkt, chances for CL qual.
---Sevilla--- 63.1, No CL next year
4. Ajax - 61.8
5. Napoli - 61.1
6. Liverpool - 58.8
7. Sporting - 58.0
8. Dynamo Kijow - 56.1
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SUMMARY:
We need to overtake Borussia and PSG and hope that two of Arsenal, Porto or Schalke won't go through CL qualifications. It is very hard to fulfil this conditions but it isn't totally impossible.