Would it have been possible to buy 1000 usd of bitcoin in 2010 or earlier? If not then how to acquire this amount or more?
In 2010, it was already possible to purchase bitcoin worth the amount of money you mentioned, because like others said, there was already a crypto exchange operating at that time.
But assuming there wasn't actually a crypto exchange, buying bitcoins worth the mentioned amount of money was still possible since alot of people traded by P2P back then, or trade by barter which involved exchanging your bitcoin for items you are interested in.
But I personally assume the big issue back then would be that, not everyone, that is, only a very few/limited number of persons will have the balls to spend this amount of money on something they are not very sure of its future success.