I note that the OP asks for "exist" and "survive", not "form" and "develop". This lowers the barrier of entry to the question considerably. The brief answer for life as we know it is, "No, there's too many essential conditions missing to support life". However, as the universe is a big place and lots of weird things happen, let's see what there is to see when we seed an early star system.
According to this paper in 1998, the temperature of a protoplanetary disk is:
a moderately warm (500–1500 K) inner disk, surrounded by a cool (50–150 K) outer disk.
Assuming a continuous gradient between the two temperature extremes, there is a zone where liquid water can form and organic molecules don't automatically denature. (I'm probably using the wrong words here but chemistry isn't my strong suit.)
Recent studies have indicated that organic molecules can form in the protoplanetary disk so there's a decent chance for food and building materials to be nearby.
Dormant Survive - If life is dormant and survives for a few million years then it just got lucky that it didn't fall onto a planet or the sun or get cooked by the protoplanetary disk's heat. Impressive survivability by Earth's standards but not amazing.
Active Survive - If this Life is alive and not in a dormant state then it has solved a number of significant challenges that preclude typical terrestrial life from forming. A long list of these challenges can be found in this answer.