Don't be silly, corporations are not people. They can't vote, they can't join the army, they can't have sex or eat chocolate.
Then again, people have every freedom under the First Amendment to form corporations and to direct those corporations to engage in lobbying activities promoting the causes the stockholders deem favorable to the goals of the corporation.
It's pretty clear that the phrase "corporate personhood" is a silly propaganda term invented by people who do not wish others to use their brains and understand the basic issues being discussed, namely the basic constitutional freedoms of people in the United States to peaceably assemble and petition their congress. Those opposed to that incredibly basic freedom have to disguise their opposition as some kind of mystical "the rich are out to get us" conspiracy plot.