I want to use a check_box_tag to create or destroy a has_many-trough association

In my Rails application, I have a campaign that belongs to a company. The company has many groups and one or more of those groups can be connected to the campaign trough a model called :general_connections.

For this campaign I'm trying to show a list of groups (with checkboxes) for the associated company. By checking a box, a ':general_connection' should be created and by unchecking it, this specific ':general_connection' should be destroyed.

Models:

class Company < ActiveRecord::Base
  has_many :campaigns
  has_many :groups
end

class Campaign < ActiveRecord::Base
  belongs_to :company
  has_many :general_connections
  has_many :groups, through: :general_connections
end

class Group < ActiveRecord::Base
  belongs_to :company
  has_many :general_connections
  has_many :campaigns, through: :general_connections
end

class GeneralConnection < ActiveRecord::Base
  belongs_to :campaign
  belongs_to :group
  belongs_to :company
end

Controllers:

#campaign_controller.rb /show
  def show
    @campaign = Campaign.find(params[:id])
    @company = Company.find(current_user.current_company)
    @main_groups = @company.groups
    @general_connections = @campaign.general_connections
    @groups = @campaign.groups
  end

#general_connection_controller.rb /connect_group_to_campaign
  def connect_group_to_campaign
    group = group.find(params[:group_id])
    @campaign = Campaign.find(params[:id])
    @campaign.general_connections.create(group: group)

    redirect_to :back
  end

#general_connection_controller.rb /disconnect_group_from_campaign
  def disconnect_group_from_campaign
    @general_connection = GeneralConnection.where("group_id = ? AND campaign_id = ?", params[:group_id], @campaign.id).first
    group = @general_connection.oneliner

    @general_connection.destroy

    redirect_to :back
  end

View with form_tag:

        <h5>Groups for this campaign</h5>
        <div class="row">
            <% @main_groups.each do |group| %>  
                <%= form_tag connect_group_to_campaign_path do |f| %>
                <%= hidden_field_tag 'campaign_id', @campaign.id %> 
                  <%= f.check_box_tag group.id, group.id, true %>
                <% end %>

                <%= form_tag disconnect_group_from_campaign_path do |f| %>
                <%= hidden_field_tag 'campaign_id', @campaign.id %> 
                  <%= f.check_box_tag group.id, group.id, false %>
                <% end %>

            <% end %>
        </div>

I believe that my attempt in the View is probably rubish, but I just wanted to first try it myself.

My questions are:

1. Is this even possible?
2. And if so, how can I compose this?