No. You have to make each title separately. Of course, you can use 'based on current title' to make life a little easier.
Harm has given you the best way to do it, and also shared the "Based On" to save you having to recreate from scratch.
One could, however combine Title elements into one. You could do, say a heading Title that also had a "lower third," i.e. a sub-title in it. Click the "Show Video," or whatever the exact syntax is. This will allow you to layout your text boxes, to suit.
However, just because you can, I'd not do this, unless it was a one-time thing. It's a lot easier for me to edit and design the Titles, when they are separate. You just position one of the first available Video Track above your Video, and the other on the next VT above that. This also allows one to alter the timing and any animation separately.
PS You can also create your Titles in PS, where each line of text, or text box is on a separate Layer. The PSD is then Imported as a Sequence to keep the Layers and not Flatten the image. Then, I can animate each Layer separately.
thanks for the tip. I checked out the Title File Creator and it is a great tool. Unfortunately it can only replace one text at a time. Inspired by it I programmed a tool that can replace multiple text blocks at once. It works, but I need to find the time to check the inputs properly, before I can give it out.