No.
The deadline was December 21, 2015

Filing Late
Late Re-Registration for TPS
USCIS may accept a late re-registration application if you have good cause for filing after the end of the re-registration period of your country. You must submit a letter that explains your reason for filing late with your re-registration application.
If you file your TPS re-registration application late, processing may be delayed and can lead to gaps in your work authorization.

Late Initial Filing for TPS
You can apply for TPS for the first time during an extension of your country’s TPS designation period. If you qualify to file your initial TPS application late, you must still independently meet all the TPS eligibility requirements listed in the Eligibility section above.

To qualify to file your initial TPS application late, you must meet at least one of the late initial filing conditions below:

During either the initial registration period of your country’s designation or during any subsequent initial registration period if your country was re-designated you met one of the following conditions, and you register while the condition still exists or within a 60-day period immediately following the expiration or termination of such condition
You were a nonimmigrant, were granted voluntary departure status, or any relief from removal
You had an application for change of status, adjustment of status, asylum, voluntary departure, or any relief from removal which was pending or subject to further review or appeal
You were a parolee or had a pending request for re-parole
You are a spouse of an individual who is currently eligible for TPS
OR

During either the initial registration period of your country’s designation or during any subsequent initial registration period if your country was re-designated you were a child of an individual who is currently eligible for TPS. There is no time limitation on filing if you meet this condition. So if your parent is currently eligible for TPS and you were his or her child (unmarried and under 21 years old) at any time during a TPS initial registration period for your country, you may still be eligible for late initial filing even if you are now over 21 years old or married. You may file during an extension of your TPS designated country.
Please check your country-specific Web page for the dates of the initial registration period or periods that apply for late initial filing.

PLEASE NOTE: You cannot obtain TPS as a derivative because your parent or child has TPS.