Alternatively, you can use a GREP style to make this "conditional space" visible or not. Please note this workaround would work assuming your paragraph starts with "Title" or "Name", otherwise we shall think differently...
1- Insert a normal space between your fields:
<<Title>>[normal space]<<Name>>
2- Create a character style (let's call it "invisible"). Set Font size to minimum (0.1pt) and approach to -1000.
3- Open your paragraph style settings, go to GREP style and apply this "invisible" character style to a space at the beginning of the paragraph. Use Grep regex: ^\s. This way, if there is no "Title", you'll have [invisible space] + "Name".