Heya! Deformities from birth are always allowed as long as you take into account the difficulties that come with them. For example the deformed nose/smaller eyes would mean a reasonable issue with those two senses and would make life a little more difficult.
As for accomplishing that you would need the purrk 'master of disguise' for sure.
For a nose so deformed it looks like a vampire bat..... That'd be very difficult and you'd probably need both a birth defect AND a huge facial injury later in life that shattered/deformed the entire nose to accomplish that and I think your cat would be completely scent blind after.
You might need to monkeys paw that and/or open a ticket with staff to figure it out as a facial alteration that huge would take a lot.
hope that helps @
Desert Rain Frog