Hi Michael. You can indeed have top surgery done before hormones.
As for me, the order* in which I did things in my transition are:
1} buy some binders and start wearing them.
2} come out to family
3} get a more traditionally male haircut
4} see a gender therapist
5} ride out illness, quit drinking, and wait until I am healthy enough to get anything else done
6} get a new gender therapist
7} get on T
8} get top surgery
9} wait for T to work its magic

* I already had been going by a male name (except with certain family members) and dressing in male clothing and underwear for a long time before identifying as trans, so these steps didn't need doing.
I have two final steps to do in my transition which are all the legalities such as name and gender change. As soon as I decide completely on a name, I will do these.
I do not plan any future surgeries or body modifications except possibly chest revision depending on how things look after I'm all done healing. So, after the legalities, I'm pretty much done.
edit: as far as timeline 1-4 happened about 3 years ago over a period of a few months. I had to wait like 3 years before I could get on T and have surgery (medical problems). Soon as I was medically ready, it took me from January of this year when I got the new therapist to May 21 when I had top surgery. So 5 months to go through the therapy, get letters, get T, have surgery. All in all, if I had not had to delay physical transition for medical reasons, I estimate the whole thing would've taken about a year from buying the binders to top surgery. So, take heart guys, it can be done in a timely fashion.