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[–] Citizen 0 points 1 point (+1|-0) ago 

In short, yes. And to answer your second question, some malware is written for the challenge, but most modern malware is written for profit.

The first self-propagating malware for IOS was seen in 2009.

The first self-propagating malware for android was seen in 2014.

Thankfully, self-propagating worms are very few and far between.

There are also malicious programs that require user installation, such as flashlight apps that secretly spy on the user, but that's a different category of malware.