I have many tasks that do not have a due date, but need to be done ASAP. Our team has many tasks that are dependent on each others on so i am hesitant to set deadlines. Is there a way to see my task with no due date on my Home Page?
Hi @David_Schmidt2 and welcome to the Forum! 
If you assign a task to any member of the team (or to yourself), it will appear in the assignee “My Tasks”, even though the task doesn’t have a due date (it won’t appear in your home page though). You can learn more about your My Tasks in the following guide article: How to Get Started With Asana My Tasks | Product Guide • Asana Product Guide
I hope this helps David, but please let me know if you have any follow-up question!