Sure! That's why Republicans intend to do both simultaneously, and to raise the deficit by around the same amount as tax cuts! It's pure coincidence!
"WASHINGTON (AP) — House Republicans released a budget plan Wednesday that sets the stage for advancing many of President Donald Trump’s top domestic priorities, providing for up to $4.5 trillion in tax cuts and a $4 trillion increase in the debt limit so the U.S. can continue financing its bills."
https://apnews.com/article/house-republicans-budget-blueprint-trump-tax-cuts-ff2bddf31f4e7cb0928139072392a091