"Is it not possible to use posedge on a generated/toggled signal?"
This is an X-Y question in terms of reliable digital design. It's not that you can't use a generated signal as a 'home-made' logic clock, it's that you shouldn't. Depending on the logic circuit, it can produce an unstable and unreliable design.
That's often tempting to do in an FPGA/CPLD: first putting clocks through and AND gate to produce a switched-off-able clock for control or to get low power; running a counter and taking the output of a flip-flop as a new CLKIN-divided-by-n clock. An example might be in making a communications controller (I2C, UART, SPI) by producing a clock near the bit frequency to operate the comms logic circuitry from.
The problem is it produces a new clock from gates (call it CLKG) that changes just after the original CLKIN does.
This is shown below, where after a CLKIN rise then (a) DFF3 inverts and inverts CLKG, (b) DFF1 output updates/changes. So DFF2 could see its CLK input rise just as its D input is changing and between logic voltages, not yet reaching a good HIGH or LOW logic level voltage. That would cause DFF2 to go metastable or to take the wrong level. This makes for an unstable and unreliable logic circuit.

It is possible to design gated clock circuits perfectly well, circuits that design out these problems or get round them. You'll see them routinely in ASICs. But the circuit is more complicated to design and maintain by others. The simplest and most reliable clock scheme is a single logic clock going from a PLL or input pin to all flip-flop clocks. The synthesis software will then require the least effort from you to produce a reliable circuit. Use more than one clock domain sparingly and because you absolutely have to.
You can then generate an enable signal that's asserted for 1 clock at the rate you need it. Design the slower logic, also running from the single global logic clock, to only advance when this enable is asserted. It's very straightforward to do and gives you a reliable, solid synthesised design that works across the device's voltage and temperature ranges.