Short answer is "no, wait until it is dry". Longer answer - I tend to use more thin CA, sometimes I use medium for build-up. Dry time depends on temperature and humidity, but with thin it is usually about a minute between coats for me. If drying is going too slow, I will use a little activator once, even with thin, but then subsequent coats will dry faster just with the activator in the air (if there isn't a breeze in the shop). I have anecdotal evidence that the cure time increases as the CA ages, I had a bottle that was almost a year old and it was pretty slow to dry, when I opened a new bottle it seemed to cure much faster. With medium CA I always use activator, you could get the job done without it, but that would be too much waiting for me. Just be careful not to use activator on voids that you are filling with CA, larger "pools" of CA will bubble up and haze with activator. Note - I use Bob Smith Industries CA and Stick Fast aerosol activator.