Hi. No!! You can wait until complete vaccination is done. For now, you can go for sponge bath.
The reason to wait until complete vaccination is to avoid getting any disease as bathing (getting wet) causes some amount of stress by suppressing immunity. They become immune to the diseases only after vaccination.
Hello Pet Parent,
You can book an at-home vet Consultation is your pet's vaccination is due.
Vaccination at home is much more convenient and safe for pets. Hope it help :)