I am not sure I understand what you mean by "trustworthy enough to send them notifications". Do you need anything other than one's phone number to send them a signal message?
The recipient would need to have this enabled, though it is by default. You can deactivate allowing others to initiate chats with you from your phone number (Settings > Privacy > Phone number)
The recipient would need to have this enabled, though it is by default. You can deactivate allowing others to initiate chats with you from your phone number (Settings > Privacy > Phone number)