Yes, of course. The Mahasi school insists that what they teach is entirely compatible with the Suttas, Commentaries, Visuddhimagga, etc.
The long discussion between a Sri Lankan monk and some Mahasi followers was referenced here: http://www.mahasi.org.mm/discourse/E24/E24ch03.htm
by Dmytro. It contains much technical discussion about the different types of concentrations...
I have it collected into a book as "Satipatthana Vipassana Meditation Criticisms and Replies (Abridged! Edition), which is over 200 pages.
You can access all chapters (1-5) by editing the "E24ch03" to ...01 ... 02, etc but I can't figure out whether there is a contents page there...