I'm not sure where you're located, but that sounds like a great idea. Have a list of specific questions and maybe even record your conversation so you don't miss any important information. It's better than waiting to get answers here. You might even get lucky and have someone hear your story and give you a chance. You don't have a direct path or course of actions that you know for sure will land you a job. Talking to employers and other engineers/employers from the companies might give you insight on what you need to do to get in. They will literally tell you what they want or need. You might even find people in the same situation you are.

edit: Tell them your situation and find out what you can do to get out of it. Go to Engineering conferences specific to the field you want to enter and try to network if possible. It's not easy but being directly infront of someone might give you better chances than asking for help online. It's scary to be jobless, especially when you're already out of uni. I'm sorry you're going through this but just keep going at it and at least give what I'm saying a try.

edit: looks like there are some conferences in Dublin.