Can the team Technomancer let the Rigger jump into an enemy drone by having 3 marks on it?
No, but with with a Man-Machine Resonance Interface Echo the Technomancer can jump into an enemy drone by having 3 marks on it....
I'm pretty sure that riggers can't jump into a drone that they do not own regardless of the marks.
Sure they can.
It is resolved with an opposed Electronic Warfare + Logic [Data Processing] v. Willpower + Firewall test.
Getting the three marks, however, is not something riggers normally can do (they would need to base their persona on a device that grant them an attack or sleaze rating and invest into either cybercombat or hacking).
Either that or that the legit matrix owner invite them to take 3 marks on the drone (in that case they don't need to take a test).
If I were a Rigger wanting to jump into enemy drones ...
If i were to build a character that plan on hacking and jumping into hostile drones (and other vehicles) for a living then I would probably make her a Technomancer with a MMRI Echo and knowledge of the Puppeteer Complex Form.
That way I could mark the drone. Puppeteer the owner to jack out of the matrix. Jump in myself. Effectively locking the rigger out of his own drone (jumped in is the highest on the control order so he can't override me and he probably don't have an attack or sleaze rating to force me out of his own drone either....)