Time to plant a garden???

While everyone is posting and talking about fall and winter, I am attempting to finish unpacking and organizing the house, and figure out where and how I am going to plant a garden. Yes you read that right, a garden...in October!

I use Sprout Robot to help me plan my garden. This site helps by letting you know what you should be planting in and/ or out doors each week. This week, based on my zip code, I should be planting:

• Plant head lettuce
• Plant kohlrabi
• Plant leaf lettuce
• Plant chard
• Plant spinach
• Plant radishes
• Plant chinese cabbage
• Plant black-eyed peas
• Plant daikon radish
• Plant rutabega
• Plant endive
• Plant cauliflower
• Plant kale
• Plant carrots
• Plant southern peas
• Plant parsnips
• Plant mustard greens
• Plant snap peas
• Plant snow peas
• Plant peas
• Transplant broccoli outdoors
• Plant turnips
• Plant bok choy
• Transplant cabbage outdoors
• Plant brussels sprouts
• Plant beets 
• Plant asian greens  

Here is my huge dilemma, while we have a good amount of property, it is mostly grass and a RENTAL. We do have 'beds' surrounding the house in the backyard, however they are filled with rock, which I could easily move into a storage bin.

We only plan on being here till next summer, so I don't plan on doing a huge garden, but would love to have a lot of the basic veggies and herbs that we use often, but we aren't sure how we are going to plant anything.

The only bed without rock