Technically, no. In season five of The Clone Wars, Ahsoka became disillusioned with the Jedi Order after being framed for bombing the Temple on Coruscant. Prior to that, she noticed Yoda seemed to be growing weary of the Order’s involvement in the war, and questioned it herself. But after being framed, imprisoned, put on military tribunal, and nearly executed (Anakin sweeps in with the real bombing culprit at the last second), Ahsoka lost almost all faith in the Jedi. She refused to continue her training, refused to rejoin the Order, and told Anakin that her confidence in herself was shaken because the Jedi did not believe in her.
She left, but continued tapping into the Force and utilizing it, and was even referred to as “the Jedi” by Din Djarin in The Mandalorian. She also, clearly, was working with Luke Skywalker at some point, so her relationship with the Jedi is far more complicated than just a simple “is she” or “isn’t she.”
Ahsoka showrunner Dave Filoni has attempted to clear up this question in the past, telling Vanity Fair:
[Fans] all focus very hard on the line, “I am no Jedi,” from Star Wars: Rebels, but it’s undeniable that she’s trained by the Jedi. I think to most observers she is very Jedi to them. I would argue in some ways—by being so selfless and rejecting a lot of paths that would have given her power—she’s more Jedi-like than even some characters who claim to be Jedi.
