Yes. After washing face and hands you can recite the Namokar Mantra. In Jain practice there is no restriction that forbids reciting this mantra after cleansing; cleanliness and purity of intention are important for any dharma sadhana.

How to recite (simple guide):

• Sit in a clean, quiet place with modest posture.
• Perform a brief moment of inner vow (samyak sankalpa) to seek truth and non-violence.
• Recite the Namokar Mantra with concentration:

Namokāra Manuṣya- nāmānaṁ Namo Arihantanam Namo Siddhanam Namo Ayarīyānam Namo Uvāccāyānam Namo Loe Savva-sāhuṇam “Dwellers in the Siddha, Arihant, and Bhagavān realms, I bow to you.”

Concluding note:

• Digambar and Śvētāmbara traditions may have slight variations in pronunciation or the order of reverences, but the practice of bowing to the fivefold revered beings remains central.
• Keep the recitation gentle and focused, maintaining purity of mind and hygiene (hands, face, and mouth already cleaned).

If you’d like, I can provide a brief, traditional arth (meaning) of each line in simple terms.