The phrase is biblical. The basic idea of worship is to do reverence or bow down and pay homage to another. From this general concept, some have argued that worship is just everything we do as Christians rather than particular “acts of worship” (a phrase that has been disparaged). Instead, it is supposed to be our lifestyles as worship (“lifestyle” is one of those loaded terms). While it is vital that we sacrifice ourselves for the Lord (Rom 12:1-2), and we recognize that all of life is to be lived in reverence to God (and in that sense worship), the concept of worship in Scripture is used in an even more specific sense as intended actions. Paul speaks of going up to Jerusalem “to worship” (24:11). Worship is said to have an “object” (Acts 17:23; 2 Thess 2:4), who is supposed to be God only. Worship can be in ignorance if not directed specifically to the right One (Acts 17:23), and it can be “in vain” if merely on the lips but not in the heart (Matt 15:8-9). But if worship is just life in general, then wasn’t Paul already worshipping went he went up to Jerusalem “to worship”? Why would he want to go to Jerusalem “to worship” if it was just his lifestyle as worship? Unless there was some intended action he had in mind, this would make no sense.
It is true that any worship of God is to be an extension of who we are (i.e., not out of character for us), but it is still something we do with specific actions in addition to how we generally live. This is not about worship being confined to a church building. It is about intended and specified actions as worship, whether individually or together.
The Hebrew writer said, “let us continually offer up a sacrifice of praise to God, that is, the fruit of lips that give thanks to His name” (Heb 13:15). Singing praise to God is worship as it renders special homage to God, whether done individually or with others (Jas 5:13; Eph 5:19-20; Col 3:16). Surely this also may be said about our prayers of praise (e.g., Acts 4:24ff). The praise Psalms should be sufficient to see that. If we speak of going “to worship,” do we not have in mind these very actions?
So, yes we can go “to worship” God as our divine object (an object with whom we share a fellowship), rendering praise to Him in a special way through songs and prayers. Our lives are to be consistent with this, but living our “lives as worship” does not entail foregoing the specific actions. Rather, those actions, especially when we are together, are only enhanced when done by those whose very lives are given as living sacrifices.