Whether or not you can plant tomatoes in June will depend on where you live and which type of tomatoes you want to plant. In Florida for instance, it is okay to plant most types of tomatoes in the month of June. You will have to take into consideration that it takes a while for the tomatoes to grow and mature until they can be picked.
Some of the different types of tomatoes which you will be able to plant in June include the glacier tomato, yellow canary, Red Robin, Earl Girl, Tiny Tim, and Pixie Hybrid II. All of these tomatoes will be able to grow perfectly fine until the month of October, so if you are looking to plant yours a little bit later, you will want to consider them.