Short answer: No, you should avoid it.

During Paryushan (Parvadhiraj), Jains practice heightened samyam (self‑restraint), pratikraman, and purity in thought, speech, and action. Intoxicants (madya) are strictly prohibited, and even praising or casually recalling them (e.g., humming a song about alcohol) goes against the spirit of the vows and the anartha‑danda vrata (avoiding purposeless, unwholesome activities). It distracts from forgiveness, austerity, and inner purification that Paryushan emphasizes.

What to do instead:

• Recite/study sacred texts and mantras (e.g., Namokar Mantra, stavans, pratikraman sutras).
• Engage in bhavna, samayik, and pratikraman.
• Keep speech and songs devotional, peaceful, and free from themes of intoxication, violence, or sensuality.

For simple guidance:

• Paryushan overview
• Twelve vows (including abstinence and anartha‑danda)
• Why alcohol/intoxicants are not allowed in Jainism