Are there genetic similarity between humans and pigs that don't exist in chimps?
Yes there are! 

I think it would make more intuitive sense to you if you would have switched the words chimps and humans in your question: 


  Are there genetic similarity between chimps and pigs that don't exist in humans?


Then, you would directly answer, of course, there are genes concerning bipedalism, brain (FoxP2 for example), digestive track (adult production of lactase for example) and so, and so… which are different in humans but might not have much reasons to be so different between pigs and chimps. Those mutations occured on the human lineage after the split between human and chimps.

To answer your question:


  Are there genetic similarity between humans and pigs that don't exist in chimps?


Yes. Most of these difference are due to mutations that occurred in the chimps lineage after the split of the original lineage into human lineage and chimps lineage. 

The following are improbable but would also allow to explain such similarities:


Genetic admixture or introgression between human and pig after humans and chimps lineages splitted.
Convergent evolution.


Maybe pigs and human got the same beneficial mutation that never appeared in the chimps lineages.
Maybe pigs and human, due to the fact that today live in cold climates evolved the sequence ATTCGCTGA which cause them to produce a more efficient shivering!