No. That's TOO MUCH detail. See the ANSI logic symbol on page 1 of the datasheet (though personally I detest ANSI logic symbols when working at gate level - you loose so much 'at a glance' comprehension because everything is a *~*~ing rectangle).
However for ease of drawing I'd use a plain rectangle with pins named according to the datasheet INSIDE it, and grouped by function. Put the eight load outputs evenly spaced at the top (as they are open drain
*), data in left edge center, data out right edge center, and control inputs bottom edge on the left. Where to put the power connections is arguable: I'd use left edge near the top for Vcc and the right edge near the bottom for Gnd.
Use the usual convention of a small circle on the outside of the symbol at all inverting inputs (and inverting outputs), and a small triangle (pointing inwards, base on the edge) to indicate edge triggered strobes or clocks. On its own, that indicates rising edge triggered. With an external circle for inversion, its falling edge triggered.
If you want to wire from the schematic, bracket the physical pin number at the end of the pin name, separated by a space.
You should also look at page 5 of the
Philips 74HC595 datasheet for inspiration,
(especially fig.5 for how to indicate internal function if you need to), though it doesn't use inversion circles and edge trigger triangles consistently.
* The usual convention is the 'flow' is down and right. That doesn't mix well with component level schematics with the +V rail at the top and Gno or -V rail at the bottom. As the TPIC6C595 outputs are open drain, it makes for a neater schematic if they are belw the loads they are driving.