The Bible says nothing directly about technological advancement. It neither condemns nor condones. The closest you could come to a Biblical statement is the story of the Tower of Babel, in which mankind advances and God intervenes to set us back a bit, for the sole purpose of restraining us. (verses 6-8 below)
King James Version (KJV)
11 And the whole earth was of one language, and of one speech.
2 And it came to pass, as they journeyed from the east, that they
found a plain in the land of Shinar; and they dwelt there.
3 And they said one to another, Go to, let us make brick, and burn
them thoroughly. And they had brick for stone, and slime had they for
4 And they said, Go to, let us build us a city and a tower, whose top
may reach unto heaven; and let us make us a name, lest we be scattered
abroad upon the face of the whole earth.
5 And the Lord came down to see the city and the tower, which the
children of men builded.
6 And the Lord said, Behold, the people is one, and they have all one
language; and this they begin to do: and now nothing will be
restrained from them, which they have imagined to do.
7 Go to, let us go down, and there confound their language, that they
may not understand one another's speech.
8 So the Lord scattered them abroad from thence upon the face of all
the earth: and they left off to build the city.
9 Therefore is the name of it called Babel; because the Lord did there
confound the language of all the earth: and from thence did the Lord
scatter them abroad upon the face of all the earth.
However, this isn't so much a denouncement on technology as a denouncement on pride and arrogance.
As for individual technological advancement, Scripture is silent. On general, it's how we choose to use technology that can be addressed Scripturally. The same computer that can be used to steal or view pornography can be used to share medical knowledge and save lives. The technology is neither good not evil in and of itself.
As for "playing God", that isn't a good fit for the site because the definition of "playing God" is different for different people and groups. I will go no further than to say that clearly, the Bible is not opposed to medicine and following medical guidelines to save and protect lives. For example, many of the Old Testament laws were designed to protect the people from disease.