Yes you can, I do every now and again .
When I have some spare bitcoin I use my rentals to solo bitcoin mine on ck's pool: https://bitcointalksearch.org/topic/yh-solockpoolorg-2-fee-solo-mining-usade-255-blocks-solved-763510
miningrigrentals.com have been around for a while and I've been using them for about a year without any problems what so ever.
I still haven't found a block though but 80 people have in the last 12 months.
so is it true that if you do solo mining, if you dont find a block you wont get any satoshis?