Are bed bugs spread like lice?

My friend that I sleep with just came back from a trip and he told me that he got bitten by bed bugs while ge was there. I had sex with him and slept in his bed. Now I am afraid te passed the bed on to my body. I know the bed bugs did not originate from his bed but is it possible he carried the bed bugs back home with him and passed them on to me. I feel very itchy but I am not sure if it is cycological or not?
Are bed bugs spread like lice?
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