Yes. Let's violate the first amendment, that should be fun.
The term "lobbying" is essentially slang.
Lobbying is just the name we give to the act of paying someone to petition the government for a redress of grievances on someone else's behalf. So to ban someone from lobbying for any amount of time is essentially banning them from petitioning the government. Which is forbidden by the Constitution.
It's a way more complicated issue than "ban lobbying".