HI -- I don't think so because the doors are too thin etc and the cabinets have a face frame . You could use piano hinges but with each door that would be very costly and they still show . Hidden hinges or European hinges work only on modern made cabinets . Your cabinets look to be old cabinets from 50's or 60's and that is a different carpentry building method . You might be able to do the modern hinges if you could have new doors made and have the face frames re-moved , but the cabinet boxes also looks too thin. Are you not able to have all new cabinets ? Trying to fix old sometimes cost more to do than they are worth . Find a good cabinet maker and see what he says or what he can do for you.

Put your money and energy into planning a full gut remodel of this 40 year old kitchen.

Face frame mount concealed (euro style) hinges are readily available, but your doors may be too thin.

memiex:

No, your doors aren't thick enough for cup hinges.

Do not question the Sophinator's chronological abilities, please.

We have the same hinges! Sadly your cabinet doors (and ours) are too thin. There are hinges made by Rockler that are surface mounted hidden hinges for face frame cabinets, but your overlay must be at least 1/2". Ours are only 1/4". We cannot afford a total remodel any time soon. I HATE these 1978 cabinet doors, so we are going to buy new cabinet doors and the bonus is the hidden hinges. We had already replaced the yellow brass surface mount hinges that were replaced by previous owners. They mounted then crooked and/or painted them. I still hate the new ones, so new doors that we will paint ourselves will at least tide us over til we can afford all new cabinets.

https://www.rockler.com/salice-soft-close-110-3-8-rabbeted-door-hinges-face-frame