Not at all... its like distances... there are an infinite number of distance measurements along a finite line, so too there is an infinite number of events within a finite period.
There is no limit to how many times you can divide a metre by half, and half again. So too there is no limit to how many times you can divide and divide a second.
Even though, for all practical purposes, the Planck length and Planck time do provide a practical limit to these divisions, there is no inherent reason one could not, if one wanted to, continue dividing even beyond the Planck time, half a Planck time, a quarter a Planck time length, a millionth a Planck time length... and so on.