If the original summons is made out in someone elses name then it isn't relevant to the original person.
Your question should be can a summons be issued more than once, to different people, arising from the same evidence, (if the first summons was issued in error).. and yes, I'd imagine so.
I once got a summons with the wrong surname on it - when I spoke with the solicitor at courthouse, he said the judge could amend it there and then. So I had to let the case proceed and after receiving 3 reminders of a penalty notice at home, I sent a letter stating that no-one by this (wrong) name lived at my address.