How would you set this up?

[MrsSnape]

I'd like to write a story about two people with very different lives. The idea is that I will write on the two characters seperately...for instance...

---

Tuesday 2nd Dec

Charlotte got out of bed and dressed herself in the clothes her maid had laid out for her....

(next chapter)

Tuesday 2nd Dec

Paul shivered as he pulled the dirty cloth over his body and watched the streets around him fill with people...

blah blah (NOT the actual story obviously, just a quick example.

One one point, the two people will meet and the story will become one, rather than two accounts. How would I do that? is it possible to start a story with two view points and then suddenly change it into a one view point?

I've read a couple of stories that go like that and it has been ok to follow.

Yes, I've read them too and had no difficulty following.
I've also read them where, after the meeting, different parts of the storyline are told by one or the other character. Did that make any sense at all?!
I mean in one chapter the first part may be told by A and then switch to B with a little linking section

what might be interesting is for the two characters to then narrate by observation on the others life once they meet... if you know what I mean...

or... you could switch it this way (eg)...

In a crowded alley two people sit in the shadows, looking into the light...

and gradually it becomes revealed they are paul and charlotte...

Yes, I've read them too and had no difficulty following.
I've also read them where, after the meeting, different parts of the storyline are told by one or the other character. Did that make any sense at all?!
I mean in one chapter the first part may be told by A and then switch to B with a little linking section

The two perspectives can work better if told in first person, with very different voices. You need to make sure it's always clear to the reader which perspective you're using. (Or if it's not clear, then that's for a good reason, rather than to just confuse people.)

The 'normal' way this is done, is to keep having it from one POV or the other when they meet up. You can't really have two POVs, that would be confusing. You could use 3rd person omniscient throughout, following one person then the other, though ...