Theoretically, you can.
https://ttlc.intuit.com/questions/3692749-if-married-in-october-but-don-t-live-together-can-we-file-...
https://ttlc.intuit.com/questions/2567672-can-a-married-person-claim-head-of-household-filing-status
Not only must you each have a qualifying person (usually a child) living with you, you must not have spent even one night in the other spouse's home during the last half of the year. http://finance.zacks.com/can-married-woman-head-household-irs-6373.html
Even if you can, you should do comparative returns as Married Filing Jointly may still be better. You can use this tool https://turbotax.intuit.com/tax-tools/calculators/taxcaster/?s=1
