Detailed answer
Factors That Change The Recommendation
You don't need to be home, but you might want to. Crews work autonomously outside and rarely need interior access. The bigger decision is whether you want to be around for the noise, the foreman check-ins, and the day-end walkthrough.
For a typical asphalt replacement, the crew never enters the home unless attic access is specifically scoped (rare for routine work). The foreman or project manager checks in periodically - usually at start, mid-day, and end of work day - and can do this by phone if you're away. Materials and dumpster placement happen on the driveway or yard, not inside. Pets benefit from being elsewhere or in a secure interior room - overhead pounding stresses most dogs and cats. Small children, especially nappers, often do better at a relative's house for day one specifically. Work-from-home setups should expect calls being noisy and consider offsite work during tear-off. Final walkthrough at end of project is important - you'll want to be present for that to inspect work and discuss anything outstanding.
If You're In California Or New Jersey
California summer installations often start at sunrise to beat heat - if you're staying home, expect crew activity by 6:30am. New Jersey installations typically run 8am-5pm to comply with noise ordinances, which is easier to plan around.