Yes...Sounds like a classic vaccine reaction, vomiting, less active, high fever even swelling of the face.
Your Vet can help you by giving him/her a shot of benadryl or something else. Maybe even give the cat some fluids under the skin (subuticular) to help recover faster.
He/she should be back to normal after that treatment in no time.
I would suggest to break up the vaccines into 2 separate visits. You could also give some liquid benadryl 30 minutes before the next vaccine visit to reduce the reaction to the vaccine.
I hope that helps you...
Hope the little one gets better soon.
Regards,
Barry
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