Sure you can make money with own blog - write or post about what you like and people will come. The most difficult thing is persistence - most of "bloggers" fails because they write the first article, second one, third one, maybe 4th and 5th one, but then they'll give up, because in most cases the realise that no one cares and their traffic is zero.
To avoid this, try to find out something about you can write regularly - on daily/weekly/monthly basics. For me it was for example a summarization of articles I've read during the week. For my friend it was it financial report for the respective month (no hard to guess that these articles on his blog are the most favourite ones).
Regarding to the platforms - you can choose from Wordpress, Tumblr and Medium. Medium is new, beautiful, but it's more like a place to share your thoughts, it's not exactly a blogging platform in my opinion. So you should move your attention to Wordpress vs. Tumblr - here it is probably 50% - 50%.
Some people are for Tumblr, some for Wordpress.
I am for Wordpress because of a high level of customization, where you can change practically whatever you want the way you want.
Good luck!
