can my cat get mange because i was playing with a mangey cat?

I was babysitting for a friend today and went over the neighbors and one of their cats has mange. the cat was all over me, and the neighbor assured me it wasn’t contagious but i’ve seen on the internet that it is? I’m worrying because I don’t want my cat to catch it, ’cause we don’t have the money right now to get him to the vet if he does.

It depends what mange it is, but yes mange is contagious! You should watch out for yourself aswell as it can get into your clothes and spread anywhere. Also, some mange is spreadable to humans.