Can you have a predisposition to multiple myeloma or lymphoma?

Yes - RR 2.0 to 4.0. Relative risk (rr) incr mgus 2.8, myeloma 2.9, lpl/wm 4.0, cll 2.0. From landgren et al. the myeloma cytogenetics are reviewed in greenberg et al. May 2013 -- http://www.Ncbi.Nlm.Nih.Gov/pubmed/23647020.
Yes, but uncommonly. There are studies of large databases that show some inherited risks for both--but still most cases are not associated with an inherited risk.

Related Questions

Parents -nh-lymphoma and multiple myeloma. My blood work - "igg lambda monoclonol protein migrating in gamma region. Thoughts?

Monoclonal protein. Can be seen in mm and and nhl. Also entity of mgus - monoclonal gammopathy of unknown significance. More work up is needed to sort all this out -- the first question is what is the magnitude of the m spike? Read more...
It may or may not be. A hematologist should be able to help you, because there are many benign cases with abnormalities like yours. We see these type of consultations quite frequently and there is a pretty standard evaluation routine. Read more...