There is no independent control for each LP & HP compressors by the EECs. But extracting air from the high-pressure compressor for aircraft bleed demands may slow the compressors a bit.
EECs will compensate for these bleed air demands by allowing more fuel. Adding more fuel will increase total engine thrust...meaning both spools will increase in speed.
Keep in mind however, that the none of this may be seen in the flightdeck. FADEC engines allow for small changes in N1 without any indications of these changes eitehr on the N1 indicators or the thrust lever movement.
Hope this answered your question.
B73567AMT