# Non significant Pearson correlations included in hierarchical regression?

I would like to perform hierarchical regression in which all variables are based on previous research/theory. But when I perform Pearson correlations, I found that some variables did not correlate to the DV. Should I still include those non-significant variables in the hierarchical regression as suggested by previous research even though they were not significant in Pearson correlations?

Thank you very much for your help.