No, it’s not like that. Christ is telling us that the danger of being rich is that you end up trusting yourself instead of trusting God. When all your basic needs are taken care of, you are less wont to give God your thanks, because you may think “I did this, it’s all because of me.” You are more likely to think your merit is what counts, not the merit of Christ and His holy wounds. Rich people can still be faithful followers of Jesus, it’s just that it can be harder for them to keep Jesus at the center of things.