Under some conditions, yes. The filters must have the same parameters (tweak, size, hash count). Bitcoinj implements this in its BloomFilter class.

Matt

Jeff Garzik <jgarzik@bitpay.com> wrote:
>Consider wallet A builds bloom filter A' and wallet B builds bloom
>filter B'.  Can A' and B' be or'd together to form a single bloom
>filter C' ?
>
>-- 
>Jeff Garzik
>Senior Software Engineer and open source evangelist
>BitPay, Inc.      https://bitpay.com/
>
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