Yes absolutely however we wouldn't have all those campaign ads that run Television Channels which are salaried for by special interests. Additionally the politicians wouldn't have as much cause to use their own money since the special interest groups wouldn't be paying them off in back room deals.
On more things is that if there were no interest groups, then one group would have most of the say. The rest of the populace would not have a form of representation. So it is extremely important to have interests groups.