No, you can't get both filing statuses. Complete the Personal Info section and the interview questions will determine the most advantages filing status for you.
See below for the requirements for each status.
https://ttlc.intuit.com/questions/1894553-do-i-qualify-for-head-of-household
https://www.irs.gov/publications/p17/ch02.html#en_US_2016_publink1000170830
