In fact, humans have already begun this process; we have successfully lofted approximately 10,000–20,000 metric tons of material into orbit and beyond (and a good fraction of it has even stayed there). We just have 5,971,999,999,999,999,990,000 metric tons to go and we’re golden.
In fact from satellite observations of meteor trails it’s estimated that about 100 – 300 metric tons (tonnes) of material strikes Earth every day. That adds up to about 30,000 to 100,000 tonnes per year.
https://briankoberlein.com/blog/is-earth-gaining-mass/
Relevant PBS Spacetime video: https://www.youtube.com/watch?v=jW55cViXu6s