For a short while, maybe, but not for long. A slight delay going into gear on a cold morning, or a few drops of red fluid on the driveway, gives you some time to book a visit, as long as the shifts stay smooth once the car warms up. Slipping under throttle, a burning smell, a bang into Drive, grinding gears or a car stuck in one gear with the check engine light on are different. Each one means the transmission is already hurting itself, so keep any trip short and gentle.
Waiting is what turns small transmission bills into big ones. A slipping transmission makes heat, heat breaks down the fluid, and worn fluid lets the clutches inside slip even more, so a leak or a solenoid that was a simple fix ends up as a rebuild. A car stuck in one gear is usually in limp mode: drive it slowly to the shop, or ask about towing if it won't move at all (after hours, our driver is at 706-945-3370). Otherwise, get it to the C&C shop closest to you this week, before the next shift does more damage.