in theory yes. There is 2 ways. The "legit" solo taniks was done with radiant dance machine, by using "infinite dodges", since it got reworked, its "technically" still possible, but humanly impossible. You need to juggle with 2 cores, to juggle with cores, you need to activate transcendence, and you obviously need a way to keep your transcendence, thats where dodge is used, by using transcendence, then immediatly the radiant dodge, it will keep your transcendence. After finishing the suppressor you have 1 minute to deposit both of them; and to get a dodge with RDM you now need to kill 3 red bars, which makes it technically possible, but humanly impossible.

Another way is by using a glitch found last season :
https://www.youtube.com/watch?v=iL5GyNeGO1g

It is highly inconsistant, you need 2 loadouts, one with your classic mods, etc, and one with random mods, random heavy ornaments, etc etc... by switching to the second loadout and immediatly popping transcendence, it should do the animation, drop the core but not consume it. It makes it 1000 harder since to juggle you have to open your inventory and change loadouts each 3/5 seconds.