So I gather the OP's issue with Hebrews 11:6 is that the connection between pleasing God and drawing near to God just isn't so direct if you are one reading this verse in isolation.
The concepts of faith, drawing near to God, and being pleasing to him are all linked together throughout the Old and New Testament, however, they are most proximately linked together just in the chapter prior to Hebrews 11:
38 but my righteous one shall live by faith,
and if he shrinks back,
my soul has no pleasure in him.”
Notice that the objective state is to live and to do so by means of faith. The opposite condition is to shrink back and thus have God relate without pleasure.
So if the opposite of living by faith means to shrink back from God and be left without his pleasure, then the objective state of being alive by means of faith involves drawing near to God and having his pleasure.
Ultimately the concept of drawing near to God and being pleasing to him are just two ways of describing the same thing which is having a positive relationship with God.
You'll notice the context of Hebrews 10:38 is the day of judgment:
35 Therefore do not throw away your confidence, which has a great reward. 36 For you have need of endurance, so that when you have done the will of God you may receive what is promised. 37 For,
“Yet a little while, and the coming one will come and will not delay;
38 but my righteous one shall live by faith, and if he shrinks back, my soul has no pleasure in him.”
39 But we are not of those who shrink back and are destroyed, but of those who have faith and preserve their souls.
The idea is to be ready for the judgment day. God is going to come whether you want Him to or not. Those who are able to draw near to God with confidence are those who have been drawing near to God throughout their lives and are thus confident that they will be met with God's pleasure. Those who shrink back have been shrinking back from God throughout their lives. They have no such confidence and there will be no love lost.
As wisdom hath said:
23 If you turn at my reproof,
behold, I will pour out my spirit to you;
I will make my words known to you.
24 Because I have called and you refused to listen,
have stretched out my hand and no one has heeded,
25 because you have ignored all my counsel
and would have none of my reproof,
26 I also will laugh at your calamity;
I will mock when terror strikes you,
27 when terror strikes you like a storm
and your calamity comes like a whirlwind,
when distress and anguish come upon you.
8 Draw near to God, and he will draw near to you. Cleanse your hands, you sinners, and purify your hearts, you double-minded.