Unions and "right to work" laws are not mutually exclusive.
No, but in practice, if a certain worker or workers start attempting to start a union, it would be very easy for an employer to get rid of those "troublemakers" and replace them with more pliable employees.
Or a manager whose unionized employees tried to bargain collectively could simply fire them all and replace them with new people who would receive a Wal-Mart-style "Unions are bad, mmkay?" orientation session upon hiring.
The problem with unions is that they are largely a network good where there's little to no point in joining one unless everyone else does too.