Short answer: Yes. In Śvetāmbara Mūrtipūjak tradition there is no scriptural prohibition that stops you from doing Jina‑mūrti pūjā after a family member’s death. Jain Āgamas do not mandate “śok” (mourning rituals). Grief should be transformed into samata (equanimity) and sādhanā.

Practical, respectful way to follow maryādā:

• Until the cremation/antyeṣṭi: Many families keep simple sādhanā (Namokār mantra, sāmāyik, pratikramaṇ) and avoid elaborate temple-style pūjā/abhiṣek because of aśauca and practical busyness.
• After cremation and śuddhi (bath and clean clothes): You may resume nitya pūjā the same or next sunrise. This is in line with Jain vītarāga dharma—devapūjā helps stabilize the mind.
• Community maryādā: Some saṅghs advise a short restraint (often 1–3 days) from festive elements (music, loud ārti, grand decorations). This is a local custom, not an Āgamic command. Follow the guidance of your presiding Ācārya/Sādhusaṅgh and your temple’s rules.
• What to focus on: Do sāmāyik, pratikramaṇ, stuti-stavan, svādhyāy, and dāna in the name of the departed, with prayers for universal forgiveness and equanimity. Avoid kriyās that assume the soul needs material offerings—the jīva moves on according to its own karma.

Digambara and Śvetāmbara note:

• Both hold that excessive mourning is not dhārmik. Resuming sādhanā and devapūjā with inner purity is appropriate; any short restraint is a social maryādā, not a doctrinal ban.

Summary:

• It is permitted to do idol worship.
• Preferably resume after cremation and personal śuddhi.
• Keep it simple for a day or two if your local saṅgh/Ācārya advises so.
• Channel grief into sādhanā, not external mourning.