My Stockbroker claimed to have set up a CSCS Account for me without my knowledge, is it possible to have two or more accounts?

I dont really think so! except you have different brokers handling or buying shares on your behalf or using slightly different names.

BabaOlowo:

My Stockbroker claimed to have set up a CSCS Account for me without my knowledge, is it possible to have two or more accounts?

It is possible.

If you're concerned about the validity of the/this CSCS account, ask the broker for the details.

Your accounts could be unified if you so desire (and this is what the managers of the CSCS would prefer).
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Just like a bank acct, you can have more than 1 CSCS acct. mayb for different reasons.

1) for margin

2) for shortterm investments

3) long term

4) nominee acct.

etc