Yes, it is possible to generate entangled photons using nonlinear BIBO crystal at wavelengths other than 405nm.
The 405nm wavelength has been commonly used for SPDC sources in the past, there have been many recent advancements in SPDC sources that operate at higher wavelengths, including in the visible and near-infrared spectral regions. For example, sources based on pumping at 532nm or 780nm have been demonstrated to produce high-quality entangled photons.
The choice of wavelength for the pump beam depends on the specific requirements of your experimental setup, such as the spectral range of interest, the detection scheme, and the available laser sources. It is important to note that the efficiency of SPDC decreases as the wavelength of the pump beam increases, so the choice of a higher wavelength may result in lower photon generation rates.