PCR from phage library

[Steven Goldberg]

Would it be possible to PCR out a ca. 2000 bp fragment from a lambda
gt11 cDNA library.  The library is from pig liver mRNA and there are
ca. 10 to the 9th phage per ml.  Unfortunately I don't have any cDNA
as a control since the library was purchased commercially; however,
the sequence of my desired gene is known so I can synthesize unique 
primers to it.

Any ideas on how I might go about this would be appreciated.

Thanks.  

Steve Goldberg