How to access non current for-loop elements using the Liquid template system

I'm trying to access elements from the previous and next arrays. Is this even possible with liquid/Jekyll? I want to access the previous and next url of pages. This is what I have done so far.
Thanks in advance.

To make sure that that liquid is working on my site I tested by outputting the current page url :

{{venue.url}}
//this line also works
{{page.url}}

and this is how I defied the array which takes the data from a yml file

{% assign page_venue = site.data.venues-array | where: "venueID",   page.venue | first %}

This is part of the yml file:

venueID: Red-Radish
name: Red Radish
url: redradish
building: 65
neighborhood: University Union

venueID: Poly-Deli
name: Poly Deli
url: polydeli
building: 19
neighborhood: University Union

venueID: Myrons
name: Myron's
url: myrons
previous: MustangStation
building: 19
neighborhood: University Union

So I'm having trouble outputting something like this(only the current url works):

Current url: polydeli
Previous url: reddish
Next url: myrons

I've the tried the following, but none work:

<p>{{page.next.url}}</p>
<p>{{venue.next.url}}</p>
<p>{{paginate.next.url}}</p>
<p>{{paginator.next_page}}</p>

Solution

Updated:

First, you need to format the venues-array.yml file correctly, like so:

- venueID: Red-Radish
  name: Red Radish
  url: redradish
  building: 65
  neighborhood: University Union

- venueID: Poly-Deli
  name: Poly Deli
  url: polydeli
  building: 19
  neighborhood: University Union

- venueID: Myrons
  name: Myron's
  url: myrons
  previous: MustangStation
  building: 19
  neighborhood: University Union

Then you can access the next and previous URLs like this:

{% for venue in site.data.venues-array %}

  {% assign next = forloop.index0 | plus: 1 %}
  {% assign previous = forloop.index0 | minus: 1 %}
    <div>Name: {{ venue.name }}</div>
    <div>Current URL: {{ venue.url }}</div>

    <div>Previous url:{{ site.data.venues-array[previous].url }}</div>
    <div>Next URL is:{{ site.data.venues-array[next].url }}</div>
    <hr>

{% endfor %}

Which will out this:

Name: Red Radish
Current URL: redradish
Previous url:myrons
Next URL is:polydeli
Name: Poly Deli
Current URL: polydeli
Previous url:redradish
Next URL is:myrons
Name: Myron's
Current URL: myrons
Previous url:polydeli
Next URL is: