Short answer: No. During shok/ashauch (sutak) after a death in one’s close family, a devotee should not do murtipuja, abhishek, aarti, or enter the garbhagriha of a derasar. This restraint is kept until the ashauch period is completed.

• Shwetambar (Murtipujak): Common maryada is to avoid puja/abhishek/aarti and not enter the sanctum during ashauch; darshan from outside without touching is generally allowed. After the prescribed period (often observed as up to three days in many sanghs), normal puja resumes as per local maryada.
• Digambar: The maryada is also to refrain from abhishek/puja and entering the sanctum during ashauch. The exact duration can vary by region and local acharan; follow your panth/sangh’s rule.

What you may do meanwhile

• Do Navkar Mantra, samayik, pratikraman, swadhyay, and shanti-paath at home for equanimity of the soul and your own samyak-bhav.
• You may go to the temple precincts only for quiet darshan from outside the sanctum, without touching murtis, kalash, ghant, etc., if your local maryada permits.
• Follow your local Guru/acharya and your derasar’s written maryada if any differences exist.

For general derasar conduct and maryada basics: