Is it possible to create a rainstorm like bad signal effect on my satellite fed TV?
What exactly does this look like? Back in the day, weak signals received from analog TV transmissions often appeared as if the images were taken in a snow storm, along with the images weaving sideways or rolling up or down because of loss of sync signals. Sometimes there were multiple images displaced horizontally because of multiple transmitter-to-receiver paths, effectively producing "ghost" images. Is this the type of video appearance you are looking for?
I have never used a satellite link for television reception, but I have heard that reception can be impaired by rain in the downlink path. Again, back in the day, this was analog television before everything went digital, so microwave signal degradation may have appeared with the same effects as VHF or UHF signal degradation, with the single exception possibly being no "ghost" images through multi-path reception.
With digital transmission, it's "all or nothing" as far as images are concerned. Some receivers have sufficient frame buffer capacity to display ragged, pixelated, images when marginal signals are received, but some recognize the low signal-to-noise ratio and simply refuse to display any images at all.
What are you really trying to DO?