no it wouldn't much, since the deprotection reaction is simply due to the presence of acid when the chlorosilane reacts with an alcohol (typically as the solvent).
TMSCl + ROH -> ROTMS + HCl
N-Boc + HCl -> free NH
one thing that would happen is your labmates will probably stop talking to you, since TBDMSCl ~ $US75/25g, while TMSCl is ~$US30/500 mL. try using acetyl chloride instead.