Sure, but you have to include the fact that the number space is huge. The number of tickets in a lottery are at least contained in a pool from which you know a winner is drawn. That is different than looking for a number in a huge range of integers.

Simple crude calculation:

2¹⁶⁰ bitcoin addresses
2 billion computers worldwide¹
3 million addresses checked per day on a computer²
2¹⁶⁰ / ( 2e9 * 3e6 * 365 ) = 667e27 years

Timeline:

big bang       sun was born          now             sun dies       existing stars burn out   you finding k       all matter evaporated
     |-------------|---------------|--------------|---------------|-----------------------|-----------------|
     0                 9.2e9            13.8e9             19e9                 1e15                         667e27                1e34

Entropy is a bitch.