Short answer: No!
To make Wooden Planks, follow these steps:
Get Recycled Wood:
Empty the ‘A Piece of Debris’ Level 1 producer of all its nails.
It will decay into Charred Wood.
Fill Charred Wood with two Knives and an Axe to activate it.
Tap on it to produce Recycled Wood.
Activate Recycled Wood:
Fill it with a Selection of Saws Level 11 to activate it.
Tap on it to produce Thick Planks Level 1.
No Table Saw needed!