Not necessarily so. There is room for interpretation here - especially since it is a translation and therefore not absolutely exact. It might be interpreted as "No one comes to the Father.." (No one comes to an understanding of the God-Principle, the Source of our existence) "..but by me" (unless you learn and practice the lessons I have given you by my life). The truth Jesus taught by his words and actions is universal and can be found anywhere and at any time. There are Christian principles in all human religions - the golden rule for example. If these principles are explained in different terms that does not change the truth they contain.
The problem with accepting this type of explanation is that it requires an open mind, unencumbered with dogma and superstition.
It is not left up to interpretation at all. When Christ said that no one comes to the Father but by Him, He was referring to the shedding of His blood and His resurrection. That is what the Father sent Christ here for to secure the salvation of the believer. And this sacrifice is found only in Christ.
There is no room for interpretation here. That's like interpreting what the meaning of "is" is.
By the way, "the golden rule" will not get you into Heaven.