Can E2 Reactions on Primary Halides Lead to 2-Alkene Formation?

[ShaneK1990]

If an E2 reaction occurs on a primary halide, is the 1-alkene the only product? or can some kind of shift occur to the 2-alkene? I feel that only the 1-alkene would form but can't confirm this. My textbook only mentions that SN2 reactions are dominant when primary. Thanks.

 

[chemisttree]

E2 eliminations require a proton alpha to the primary halide. Tell us what you know about the mechanism for this elimination. What is step 1? Step 2? Is rearrangement possible?