Yes! There is nothing we can do to make Jesus not love us. In fact, even those who live a life of sin and do not believe in him, he still loves them. (Romans 8:39)
When we sin it is our responsibility to immediately repent to God. If we wait, we end up forgetting about it or we may not mean it in our heart. As believers we are given the Holy Spirit to make us aware of these mistakes and he urges us to repent as soon as we commit a sin. There is only one sin that is unforgivable; speaking against the Holy Spirit. You can make fun of God the Father, Jesus the Son, even go as far as cursing them out. But if you make fun, or curse against the Holy Spirit, your sin will not be forgiven. (Matthew 12:31-32)