Can a DbContext enforce a filter policy?

I would like to pass a value to the ctor of a DbContext and then have that value enforce "filtering" on the related DbSets. Is this possible...or is there a better approach?

Code might look like this:

class Contact {
  int ContactId { get; set; }
  int CompanyId { get; set; }
  string Name { get; set; }
}

class ContactContext : DbContext {
  public ContactContext(int companyId) {...}
  public DbSet<Contact> Contacts { get; set; }
}

using (var cc = new ContactContext(123)) {
  // Would only return contacts where CompanyId = 123
  var all = (from i in cc.Contacts select i);

  // Would automatically set the CompanyId to 123
  var contact = new Contact { Name = "Doug" };
  cc.Contacts.Add(contact);
  cc.SaveChanges();

  // Would throw custom exception
  contact.CompanyId = 456;
  cc.SaveChanges;
}