No. Not unless they repent and accept Christ as their savior.
The Bible quite clearly teaches that we are saved by grace, not by works, lest any man should boast (See Ephesians 2:8-9 below). You do not merit saving or heaven by being "good", as we are all dead to sin, but rather God chooses you, and you respond to his grace by trying to live according to his precepts. (See James 2, where we learn that if you are saved by grace, then you will do some good works, as it is intrinsic to grace to respond in love, much like a great basketball player will play some basketball. Here is the passage: James 2: 26--"As the body without the spirit is dead, so faith without deeds is dead. ")
Here is a key passage from Ephesians 2:
"1 And you were dead in your trespasses and sins,
2 in which you formerly walked according to the course of this world, according to the prince of the power of the air, of the spirit that is now working in the sons of disobedience.
3 Among them we too all formerly lived in the lusts of our flesh, indulging the desires of the flesh and of the mind, and were by nature children of wrath, even as the rest.
4 But God, being rich in mercy, because of His great love with which He loved us,
5 even when we were dead in our transgressions, made us alive together with Christ (by grace you have been saved),
6 and raised us up with Him, and seated us with Him in the heavenly places in Christ Jesus,
7 so that in the ages to come He might show the surpassing riches of His grace in kindness toward us in Christ Jesus.
8 For by grace you have been saved through faith; and that not of yourselves, it is (23) the gift of God;
9 not as a result of works, so that no one may boast.
10 For we are His workmanship, created in Christ Jesus for good works, which God prepared beforehand so that we would walk in them.
11 Therefore remember that formerly you, the Gentiles in the flesh, who are called " Uncircumcision" by the so-called " Circumcision," which is performed in the flesh by human hands--
12 remember that you were at that time separate from Christ, excluded from the commonwealth of Israel, and strangers to the covenants of promise, having no hope and without God in the world.
13 But now in Christ Jesus you who formerly were far off have been brought near by the blood of Christ.
14 For He Himself is our peace, who made both groups into one and broke down the barrier of the dividing wall,
15 by (46) abolishing in His flesh the enmity, which is (47) the Law of commandments contained in ordinances, so that in Himself He might (48) make the two into (49) one new man, thus establishing (50) peace,
16 and might (51) reconcile them both in (52) one body to God through the cross, by it having (53) put to death the enmity.
17 AND (54) HE CAME AND PREACHED (55) PEACE TO YOU WHO WERE (56) FAR AWAY, AND PEACE TO THOSE WHO WERE (57) NEAR;
18 for through Him we both have (58) our access in (59) one Spirit to (60) the Father.
19 So then you are no longer (61) strangers and aliens, but you are (62) fellow citizens with the saints, and are of (63) God's household,
20 having been (64) built on (65) the foundation of (66) the apostles and prophets, (67) Christ Jesus Himself being the (68) corner stone,
21 (69) in whom the whole building, being fitted together, is growing into (70) a holy temple in the Lord,
22 in whom you also are being (71) built together into a (72) dwelling of God in the Spirit. "
Christianity is the only major religion in which God reached down to man and saved him through a freely given gift of grace; all other religions teach that we must work hard and study hard to get into heaven. However, Christianity does teach in the Bible that a Christian will believe in the saving faith in Christ, and will not be a non-believer. John 3: 36 "Whoever believes in the Son has eternal life, but whoever rejects the Son will not see life, for God's wrath remains on him." However, our very power to see around our sin and accept Christ is a result of God's grace.